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340003302324444 = 22321122931311978657
BaseRepresentation
bin100110101001110110011000…
…0000011101011100011011100
31122120211222221201210001200100
41031103230300003223203130
5324031103230343340234
63203043205532501100
7131421266535036633
oct11523546003534334
91576758851701610
10340003302324444
1199376655326850
1232172b0201a790
1311794234bb68c5
145dd636773451a
1529493ed43c399
hex1353b300eb8dc

340003302324444 has 144 divisors (see below), whose sum is σ = 944687759389920. Its totient is φ = 102253640785920.

The previous prime is 340003302324349. The next prime is 340003302324461. The reversal of 340003302324444 is 444423203300043.

340003302324444 is a `hidden beast` number, since 3 + 40 + 0 + 0 + 330 + 2 + 3 + 244 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 340003302324399 and 340003302324408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22394764 + ... + 34373420.

It is an arithmetic number, because the mean of its divisors is an integer number (6560331662430).

Almost surely, 2340003302324444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340003302324444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472343879694960).

340003302324444 is an abundant number, since it is smaller than the sum of its proper divisors (604684457065476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

340003302324444 is a wasteful number, since it uses less digits than its factorization.

340003302324444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11979220 (or 11979215 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 340003302324444 its reverse (444423203300043), we get a palindrome (784426505624487).

The spelling of 340003302324444 in words is "three hundred forty trillion, three billion, three hundred two million, three hundred twenty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 229 313 396 458 626 687 916 939 1252 1374 1878 2061 2519 2748 2817 3443 3756 4122 5038 5634 6886 7557 8244 10076 10329 11268 13772 15114 20658 22671 30228 30987 41316 45342 61974 71677 90684 123948 143354 215031 286708 430062 645093 788447 860124 1290186 1576894 2365341 2580372 3153788 4730682 7096023 9461364 11978657 14192046 23957314 28384092 35935971 47914628 71871942 107807913 131765227 143743884 215615826 263530454 395295681 431231652 527060908 790591362 1185887043 1581182724 2371774086 2743112453 3749319641 4743548172 5486224906 7498639282 8229337359 10972449812 11247958923 14997278564 16458674718 22495917846 24688012077 30174236983 32917349436 33743876769 41242516051 44991835692 49376024154 60348473966 67487753538 82485032102 90522710949 98752048308 120696947932 123727548153 134975507076 164970064204 181045421898 247455096306 271568132847 362090843796 371182644459 494910192612 543136265694 742365288918 858594197789 1086272531388 1484730577836 1717188395578 2575782593367 3434376791156 5151565186734 7727347780101 9444536175679 10303130373468 15454695560202 18889072351358 28333608527037 30909391120404 37778144702716 56667217054074 85000825581111 113334434108148 170001651162222 340003302324444