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10340945672 = 2315722292
BaseRepresentation
bin10011010000101111…
…00100111100001000
3222200200022110122212
421220113210330020
5132134240230142
64430042204252
7514154405441
oct115027447410
928620273585
1010340945672
1144272155a2
1220071b3688
13c8a523385
147015542c8
15407ca8d82
hex2685e4f08

10340945672 has 36 divisors (see below), whose sum is σ = 19599142455. Its totient is φ = 5115105216.

The previous prime is 10340945669. The next prime is 10340945711. The reversal of 10340945672 is 27654904301.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 8149395076 + 2191550596 = 90274^2 + 46814^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=71906.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45156854 + ... + 45157082.

Almost surely, 210340945672 is an apocalyptic number.

It is an amenable number.

10340945672 is a deficient number, since it is larger than the sum of its proper divisors (9258196783).

10340945672 is an frugal number, since it uses more digits than its factorization.

10340945672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 10340945672 in words is "ten billion, three hundred forty million, nine hundred forty-five thousand, six hundred seventy-two".

Divisors: 1 2 4 8 157 229 314 458 628 916 1256 1832 24649 35953 49298 52441 71906 98596 104882 143812 197192 209764 287624 419528 5644621 8233237 11289242 16466474 22578484 32932948 45156968 65865896 1292618209 2585236418 5170472836 10340945672