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34124343144 = 23397109313411
BaseRepresentation
bin11111110001111110…
…000010011101101000
310021002011222020112220
4133301332002131220
51024341312440034
623402043034040
72315430062613
oct376176023550
9107064866486
1034124343144
1113521336091
12674420b920
1332aa9a1528
14191a0c917a
15d4ac61749
hex7f1f82768

34124343144 has 64 divisors (see below), whose sum is σ = 86275640640. Its totient is φ = 11246376960.

The previous prime is 34124343137. The next prime is 34124343157. The reversal of 34124343144 is 44134342143.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2537799 + ... + 2551209.

It is an arithmetic number, because the mean of its divisors is an integer number (1348056885).

Almost surely, 234124343144 is an apocalyptic number.

It is an amenable number.

34124343144 is an abundant number, since it is smaller than the sum of its proper divisors (52151297496).

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

34124343144 is a wasteful number, since it uses less digits than its factorization.

34124343144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14610 (or 14606 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

Adding to 34124343144 its reverse (44134342143), we get a palindrome (78258685287).

The spelling of 34124343144 in words is "thirty-four billion, one hundred twenty-four million, three hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 97 194 291 388 582 776 1093 1164 2186 2328 3279 4372 6558 8744 13116 13411 26232 26822 40233 53644 80466 106021 107288 160932 212042 318063 321864 424084 636126 848168 1272252 1300867 2544504 2601734 3902601 5203468 7805202 10406936 14658223 15610404 29316446 31220808 43974669 58632892 87949338 117265784 175898676 351797352 1421847631 2843695262 4265542893 5687390524 8531085786 11374781048 17062171572 34124343144