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104023340340 = 22351712726323
BaseRepresentation
bin110000011100001000…
…1100011010100110100
3100221111120021012121220
41200320101203110310
53201014433342330
6115442045110340
710341536542503
oct1407021432464
9327446235556
10104023340340
1140130511267
12181b12583b0
139a6a213aba
14506b52c83a
152a8c570710
hex1838463534

104023340340 has 144 divisors (see below), whose sum is σ = 310895226432. Its totient is φ = 25898148864.

The previous prime is 104023340327. The next prime is 104023340341. The reversal of 104023340340 is 43043320401.

It is a self number, because there is not a number n which added to its sum of digits gives 104023340340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104023340341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16448419 + ... + 16454741.

It is an arithmetic number, because the mean of its divisors is an integer number (2158994628).

Almost surely, 2104023340340 is an apocalyptic number.

104023340340 is a gapful number since it is divisible by the number (10) 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 104023340340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155447613216).

104023340340 is an abundant number, since it is smaller than the sum of its proper divisors (206871886092).

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

104023340340 is a wasteful number, since it uses less digits than its factorization.

104023340340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6606 (or 6477 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 104023340340 its reverse (43043320401), we get a palindrome (147066660741).

The spelling of 104023340340 in words is "one hundred four billion, twenty-three million, three hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 127 170 204 254 255 340 381 508 510 635 762 1020 1270 1524 1905 2159 2540 3810 4318 6323 6477 7620 8636 10795 12646 12954 16129 18969 21590 25292 25908 31615 32258 32385 37938 43180 48387 63230 64516 64770 75876 80645 94845 96774 107491 126460 129540 161290 189690 193548 214982 241935 274193 322473 322580 379380 429964 483870 537455 548386 644946 803021 822579 967740 1074910 1096772 1289892 1370965 1606042 1612365 1645158 2149820 2409063 2741930 3212084 3224730 3290316 4015105 4112895 4818126 5483860 6449460 8030210 8225790 9636252 12045315 13651357 16060420 16451580 24090630 27302714 40954071 48181260 54605428 68256785 81908142 101983667 136513570 163816284 203967334 204770355 273027140 305951001 407934668 409540710 509918335 611902002 819081420 1019836670 1223804004 1529755005 1733722339 2039673340 3059510010 3467444678 5201167017 6119020020 6934889356 8668611695 10402334034 17337223390 20804668068 26005835085 34674446780 52011670170 104023340340