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10343474934 = 23131715151659
BaseRepresentation
bin10011010001000010…
…01110011011110110
3222200212001222011020
421220201032123312
5132140412144214
64430212322010
7514215041412
oct115041163366
928625058136
1010343474934
1144286928a1
122008013306
13c8abca690
14701a11d42
154081084a9
hex26884e6f6

10343474934 has 64 divisors (see below), whose sum is σ = 23745415680. Its totient is φ = 2975500800.

The previous prime is 10343474927. The next prime is 10343474959. The reversal of 10343474934 is 43947434301.

10343474934 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174397 + ... + 226055.

It is an arithmetic number, because the mean of its divisors is an integer number (371022120).

Almost surely, 210343474934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10343474934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11872707840).

10343474934 is an abundant number, since it is smaller than the sum of its proper divisors (13401940746).

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

10343474934 is a wasteful number, since it uses less digits than its factorization.

10343474934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51845.

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 10343474934 in words is "ten billion, three hundred forty-three million, four hundred seventy-four thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 151 221 302 442 453 663 906 1326 1963 2567 3926 5134 5889 7701 11778 15402 33371 51659 66742 100113 103318 154977 200226 309954 671567 878203 1343134 1756406 2014701 2634609 4029402 5269218 7800509 11416639 15601018 22833278 23401527 34249917 46803054 68499834 101406617 132608653 202813234 265217306 304219851 397825959 608439702 795651918 1723912489 3447824978 5171737467 10343474934