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374040400338 = 232112171735721
BaseRepresentation
bin1010111000101101000…
…10111001000111010010
31022202110112000001220200
411130112202321013102
522112013320302323
6443455355520030
736011032641663
oct5342642710722
91282415001820
10374040400338
111346a2066a00
12605a9459016
132936c371797
14141645c736a
159ae2875443
hex57168b91d2

374040400338 has 36 divisors (see below), whose sum is σ = 890793190014. Its totient is φ = 113345575200.

The previous prime is 374040400289. The next prime is 374040400343. The reversal of 374040400338 is 833004040473.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 299037266649 + 75003133689 = 546843^2 + 273867^2 .

It is a super-2 number, since 2×3740404003382 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 85865683 + ... + 85870038.

Almost surely, 2374040400338 is an apocalyptic number.

374040400338 is an abundant number, since it is smaller than the sum of its proper divisors (516752789676).

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

374040400338 is a wasteful number, since it uses less digits than its factorization.

374040400338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171735751 (or 171735737 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 374040400338 in words is "three hundred seventy-four billion, forty million, four hundred thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 171735721 343471442 515207163 1030414326 1545621489 1889092931 3091242978 3778185862 5667278793 11334557586 17001836379 20780022241 34003672758 41560044482 62340066723 124680133446 187020200169 374040400338