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1070834256 = 24347910459
BaseRepresentation
bin111111110100111…
…010001001010000
32202121222000110000
4333310322021100
54143113144011
6254131410000
735351640522
oct7764721120
92677860400
101070834256
114aa504698
1225a753900
13140b0b64b
14a2309a12
1564024356
hex3fd3a250

1070834256 has 100 divisors (see below), whose sum is σ = 3138836800. Its totient is φ = 352392768.

The previous prime is 1070834239. The next prime is 1070834263. The reversal of 1070834256 is 6524380701.

It is a super-2 number, since 2×10708342562 = 2293372007646147072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1070834256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 97155 + ... + 107613.

It is an arithmetic number, because the mean of its divisors is an integer number (31388368).

Almost surely, 21070834256 is an apocalyptic number.

1070834256 is a gapful number since it is divisible by the number (16) 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 1070834256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569418400).

1070834256 is an abundant number, since it is smaller than the sum of its proper divisors (2068002544).

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

1070834256 is a wasteful number, since it uses less digits than its factorization.

1070834256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10558 (or 10543 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1070834256 is about 32723.6039579995. The cubic root of 1070834256 is about 1023.0748734769.

The spelling of 1070834256 in words is "one billion, seventy million, eight hundred thirty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 81 108 144 158 162 216 237 316 324 432 474 632 648 711 948 1264 1296 1422 1896 2133 2844 3792 4266 5688 6399 8532 10459 11376 12798 17064 20918 25596 31377 34128 41836 51192 62754 83672 94131 102384 125508 167344 188262 251016 282393 376524 502032 564786 753048 826261 847179 1129572 1506096 1652522 1694358 2259144 2478783 3305044 3388716 4518288 4957566 6610088 6777432 7436349 9915132 13220176 13554864 14872698 19830264 22309047 29745396 39660528 44618094 59490792 66927141 89236188 118981584 133854282 178472376 267708564 356944752 535417128 1070834256