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23034310344 = 23321721106993
BaseRepresentation
bin10101011100111100…
…111010111011001000
32012110022010012112100
4111130330322323020
5334133240412334
614325401113400
71443545256513
oct253474727310
965408105470
1023034310344
1198502a4321
12456a188860
132231213046
14118729dd7a
158ec33ac99
hex55cf3aec8

23034310344 has 72 divisors (see below), whose sum is σ = 66270195810. Its totient is φ = 7226443776.

The previous prime is 23034310331. The next prime is 23034310433. The reversal of 23034310344 is 44301343032.

23034310344 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 4 + 310 + 344 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 21283892100 + 1750418244 = 145890^2 + 41838^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 532689 + ... + 574304.

Almost surely, 223034310344 is an apocalyptic number.

23034310344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23034310344 is an abundant number, since it is smaller than the sum of its proper divisors (43235885466).

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

23034310344 is a wasteful number, since it uses less digits than its factorization.

23034310344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107039 (or 1107015 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 23034310344 its reverse (44301343032), we get a palindrome (67335653376).

The spelling of 23034310344 in words is "twenty-three billion, thirty-four million, three hundred ten thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 867 1156 1224 1734 2312 2601 3468 5202 6936 10404 20808 1106993 2213986 3320979 4427972 6641958 8855944 9962937 13283916 18818881 19925874 26567832 37637762 39851748 56456643 75275524 79703496 112913286 150551048 169369929 225826572 319920977 338739858 451653144 639841954 677479716 959762931 1279683908 1354959432 1919525862 2559367816 2879288793 3839051724 5758577586 7678103448 11517155172 23034310344