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70327296 = 2103213587
BaseRepresentation
bin1000011000100…
…01110000000000
311220022222220200
410030101300000
5121000433141
610551205200
71512525564
oct414216000
9156288820
1070327296
1136774a36
121b676800
13117547b0
1494a96a4
156292ab6
hex4311c00

70327296 has 132 divisors (see below), whose sum is σ = 219061752. Its totient is φ = 21602304.

The previous prime is 70327289. The next prime is 70327297. The reversal of 70327296 is 69272307.

70327296 = 2612 + 2622 + ... + 6112.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 70327296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70327297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119515 + ... + 120101.

Almost surely, 270327296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70327296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109530876).

70327296 is an abundant number, since it is smaller than the sum of its proper divisors (148734456).

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

70327296 is a wasteful number, since it uses less digits than its factorization.

70327296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 70327296 is about 8386.1371321962. The cubic root of 70327296 is about 412.7698553794.

The spelling of 70327296 in words is "seventy million, three hundred twenty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 587 624 768 832 936 1024 1152 1174 1248 1536 1664 1761 1872 2304 2348 2496 3072 3328 3522 3744 4608 4696 4992 5283 6656 7044 7488 7631 9216 9392 9984 10566 13312 14088 14976 15262 18784 19968 21132 22893 28176 29952 30524 37568 39936 42264 45786 56352 59904 61048 68679 75136 84528 91572 112704 119808 122096 137358 150272 169056 183144 225408 244192 274716 300544 338112 366288 450816 488384 549432 601088 676224 732576 901632 976768 1098864 1352448 1465152 1803264 1953536 2197728 2704896 2930304 3907072 4395456 5409792 5860608 7814144 8790912 11721216 17581824 23442432 35163648 70327296