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334105003024 = 241317467202327
BaseRepresentation
bin1001101110010100011…
…01011100010000010000
31011221101100111200122021
410313022031130100100
520433221340044044
6413252525421224
733065301445132
oct4671215342020
91157340450567
10334105003024
11119769622911
125490310a814
13256767bb180
1412256835052
158a5689ee84
hex4dca35c410

334105003024 has 80 divisors (see below), whose sum is σ = 739714405248. Its totient is φ = 144820094976.

The previous prime is 334105003021. The next prime is 334105003069. The reversal of 334105003024 is 420300501433.

It is a super-2 number, since 2×3341050030242 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334105003024.

It is not an unprimeable number, because it can be changed into a prime (334105003021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1550149 + ... + 1752475.

Almost surely, 2334105003024 is an apocalyptic number.

334105003024 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334105003024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369857202624).

334105003024 is an abundant number, since it is smaller than the sum of its proper divisors (405609402224).

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

334105003024 is a wasteful number, since it uses less digits than its factorization.

334105003024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202832 (or 202826 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 334105003024 its reverse (420300501433), we get a palindrome (754405504457).

The spelling of 334105003024 in words is "three hundred thirty-four billion, one hundred five million, three thousand, twenty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 467 884 934 1768 1868 3536 3736 6071 7472 7939 12142 15878 24284 31756 48568 63512 97136 103207 127024 202327 206414 404654 412828 809308 825656 1618616 1651312 2630251 3237232 3439559 5260502 6879118 10521004 13758236 21042008 27516472 42084016 44714267 55032944 89428534 94486709 178857068 188973418 357714136 377946836 715428272 755893672 1228327217 1511787344 1606274053 2456654434 3212548106 4913308868 6425096212 9826617736 12850192424 19653235472 20881562689 25700384848 41763125378 83526250756 167052501512 334105003024