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34246040232 = 2332418397057
BaseRepresentation
bin11111111001001110…
…010001101010101000
310021101122222002120110
4133321032101222220
51030113441241412
623422111254320
72321435352615
oct377116215250
9107348862513
1034246040232
1113583aa6998
126778b1a3a0
1332c9c70a41
14192c32750c
15d5679ed3c
hex7f9391aa8

34246040232 has 64 divisors (see below), whose sum is σ = 86085014400. Its totient is φ = 11352821760.

The previous prime is 34246040221. The next prime is 34246040273. The reversal of 34246040232 is 23204064243.

It is a super-2 number, since 2×342460402322 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34246040232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4849248 + ... + 4856304.

It is an arithmetic number, because the mean of its divisors is an integer number (1345078350).

Almost surely, 234246040232 is an apocalyptic number.

It is an amenable number.

34246040232 is an abundant number, since it is smaller than the sum of its proper divisors (51838974168).

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

34246040232 is a wasteful number, since it uses less digits than its factorization.

34246040232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8146 (or 8142 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The spelling of 34246040232 in words is "thirty-four billion, two hundred forty-six million, forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 241 482 723 839 964 1446 1678 1928 2517 2892 3356 5034 5784 6712 7057 10068 14114 20136 21171 28228 42342 56456 84684 169368 202199 404398 606597 808796 1213194 1617592 1700737 2426388 3401474 4852776 5102211 5920823 6802948 10204422 11841646 13605896 17762469 20408844 23683292 35524938 40817688 47366584 71049876 142099752 1426918343 2853836686 4280755029 5707673372 8561510058 11415346744 17123020116 34246040232