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70355264 = 267971619
BaseRepresentation
bin1000011000110…
…00100101000000
311220101102021112
410030120211000
5121002332024
610551542452
71513003250
oct414304500
9156342245
1070355264
1136793a51
121b68aa28
1311764445
1494b5960
15629b00e
hex4318940

70355264 has 56 divisors (see below), whose sum is σ = 161300160. Its totient is φ = 29822976.

The previous prime is 70355251. The next prime is 70355273. The reversal of 70355264 is 46255307.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 70355264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42647 + ... + 44265.

It is an arithmetic number, because the mean of its divisors is an integer number (2880360).

Almost surely, 270355264 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 70355264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80650080).

70355264 is an abundant number, since it is smaller than the sum of its proper divisors (90944896).

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

70355264 is a wasteful number, since it uses less digits than its factorization.

70355264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 70355264 is about 8387.8044803155. The cubic root of 70355264 is about 412.8245653710.

The spelling of 70355264 in words is "seventy million, three hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 112 194 224 388 448 679 776 1358 1552 1619 2716 3104 3238 5432 6208 6476 10864 11333 12952 21728 22666 25904 43456 45332 51808 90664 103616 157043 181328 314086 362656 628172 725312 1099301 1256344 2198602 2512688 4397204 5025376 8794408 10050752 17588816 35177632 70355264