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344685742368 = 253111719200409
BaseRepresentation
bin1010000010000001101…
…11110000100100100000
31012221200202000221101020
411001000313300210200
521121404022223433
6422202455405440
733621430316532
oct5010067604440
91187622027336
10344685742368
111231a912a9a0
1256976683880
13266718bc496
141297bb69852
158e75723cb3
hex5040df0920

344685742368 has 96 divisors (see below), whose sum is σ = 1045116717120. Its totient is φ = 98306088960.

The previous prime is 344685742367. The next prime is 344685742391. The reversal of 344685742368 is 863247586443.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (344685742367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9582253 + ... + 9618156.

It is an arithmetic number, because the mean of its divisors is an integer number (10886632470).

Almost surely, 2344685742368 is an apocalyptic number.

It is an amenable number.

344685742368 is an abundant number, since it is smaller than the sum of its proper divisors (700430974752).

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

344685742368 is a wasteful number, since it uses less digits than its factorization.

344685742368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19200450 (or 19200442 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 60.

The spelling of 344685742368 in words is "three hundred forty-four billion, six hundred eighty-five million, seven hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2992 4488 5984 8976 17952 19200409 38400818 57601227 76801636 115202454 153603272 211204499 230404908 307206544 326406953 422408998 460809816 614413088 633613497 652813906 844817996 921619632 979220859 1267226994 1305627812 1689635992 1843239264 1958441718 2534453988 2611255624 3379271984 3590476483 3916883436 5068907976 5222511248 6758543968 7180952966 7833766872 10137815952 10445022496 10771429449 14361905932 15667533744 20275631904 21542858898 28723811864 31335067488 43085717796 57447623728 86171435592 114895247456 172342871184 344685742368