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34256003070 = 235194110131447
BaseRepresentation
bin11111111001110100…
…010001111111111110
310021102100201021000110
4133321310101333332
51030124014044240
623423105010450
72321616136032
oct377164217776
9107370637013
1034256003070
1113589691143
126780323a26
1332cc04b703
14192d79c1c2
15d575bbc80
hex7f9d11ffe

34256003070 has 128 divisors (see below), whose sum is σ = 88801090560. Its totient is φ = 8428907520.

The previous prime is 34256003011. The next prime is 34256003071. The reversal of 34256003070 is 7030065243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34256003071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23673087 + ... + 23674533.

It is an arithmetic number, because the mean of its divisors is an integer number (693758520).

Almost surely, 234256003070 is an apocalyptic number.

34256003070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34256003070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44400545280).

34256003070 is an abundant number, since it is smaller than the sum of its proper divisors (54545087490).

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

34256003070 is a wasteful number, since it uses less digits than its factorization.

34256003070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530.

The product of its (nonzero) digits is 15120, while the sum is 30.

The spelling of 34256003070 in words is "thirty-four billion, two hundred fifty-six million, three thousand, seventy".

Divisors: 1 2 3 5 6 10 15 19 30 38 41 57 82 95 114 123 190 205 246 285 410 570 615 779 1013 1230 1447 1558 2026 2337 2894 3039 3895 4341 4674 5065 6078 7235 7790 8682 10130 11685 14470 15195 19247 21705 23370 27493 30390 38494 41533 43410 54986 57741 59327 82479 83066 96235 115482 118654 124599 137465 164958 177981 192470 207665 249198 274930 288705 296635 355962 412395 415330 577410 593270 622995 789127 824790 889905 1127213 1245990 1465811 1578254 1779810 2254426 2367381 2931622 3381639 3945635 4397433 4734762 5636065 6763278 7329055 7891270 8794866 11272130 11836905 14658110 16908195 21987165 23673810 27850409 33816390 43974330 55700818 60098251 83551227 120196502 139252045 167102454 180294753 278504090 300491255 360589506 417756135 600982510 835512270 901473765 1141866769 1802947530 2283733538 3425600307 5709333845 6851200614 11418667690 17128001535 34256003070