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10344345090 = 2352574792801
BaseRepresentation
bin10011010001001001…
…00010111000000010
3222200220201011210020
421220210202320002
5132141123020330
64430243114310
7514225324332
oct115044427002
928626634706
1010344345090
114429127632
122008372996
13c8b143771
14701b9b0c2
1540822b210
hex268922e02

10344345090 has 64 divisors (see below), whose sum is σ = 24983976960. Its totient is φ = 2741043200.

The previous prime is 10344345049. The next prime is 10344345107. The reversal of 10344345090 is 9054344301.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3691690 + ... + 3694490.

It is an arithmetic number, because the mean of its divisors is an integer number (390374640).

Almost surely, 210344345090 is an apocalyptic number.

10344345090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10344345090 is an abundant number, since it is smaller than the sum of its proper divisors (14639631870).

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

10344345090 is a wasteful number, since it uses less digits than its factorization.

10344345090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3547.

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 10344345090 its reverse (9054344301), we get a palindrome (19398689391).

The spelling of 10344345090 in words is "ten billion, three hundred forty-four million, three hundred forty-five thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 257 479 514 771 958 1285 1437 1542 2395 2570 2801 2874 3855 4790 5602 7185 7710 8403 14005 14370 16806 28010 42015 84030 123103 246206 369309 615515 719857 738618 1231030 1341679 1439714 1846545 2159571 2683358 3599285 3693090 4025037 4319142 6708395 7198570 8050074 10797855 13416790 20125185 21595710 40250370 344811503 689623006 1034434509 1724057515 2068869018 3448115030 5172172545 10344345090