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34256278912 = 271937210289
BaseRepresentation
bin11111111001110101…
…010101010110000000
310021102101020021101211
4133321311111112000
51030124101411122
623423114535504
72321621365162
oct377165252600
9107371207354
1034256278912
111358985a409
126780437594
1332cc11712b
14192d830932
15d57623877
hex7f9d55580

34256278912 has 96 divisors (see below), whose sum is σ = 73837953000. Its totient is φ = 15786565632.

The previous prime is 34256278897. The next prime is 34256278919. The reversal of 34256278912 is 21987265243.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34256278919) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3324264 + ... + 3334552.

Almost surely, 234256278912 is an apocalyptic number.

34256278912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34256278912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36918976500).

34256278912 is an abundant number, since it is smaller than the sum of its proper divisors (39581674088).

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

34256278912 is a wasteful number, since it uses less digits than its factorization.

34256278912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10396 (or 10347 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

The spelling of 34256278912 in words is "thirty-four billion, two hundred fifty-six million, two hundred seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 19 32 37 38 64 74 76 128 148 152 296 304 592 608 703 1184 1216 1369 1406 2368 2432 2738 2812 4736 5476 5624 10289 10952 11248 20578 21904 22496 26011 41156 43808 44992 52022 82312 87616 89984 104044 164624 175232 195491 208088 329248 380693 390982 416176 658496 761386 781964 832352 1316992 1522772 1563928 1664704 3045544 3127856 3329408 6091088 6255712 7233167 12182176 12511424 14085641 14466334 24364352 25022848 28171282 28932668 48728704 56342564 57865336 112685128 115730672 225370256 231461344 267627179 450740512 462922688 535254358 901481024 925845376 1070508716 1802962048 2141017432 4282034864 8564069728 17128139456 34256278912