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70358544 = 24342332
BaseRepresentation
bin1000011000110…
…01011000010000
311220101120210000
410030121120100
5121002433134
610552010000
71513015644
oct414313020
9156346700
1070358544
1136796463
121b690900
1311765a99
1494b6c24
15629be99
hex4319610

70358544 has 75 divisors (see below), whose sum is σ = 204515773. Its totient is φ = 23352192.

The previous prime is 70358537. The next prime is 70358573. The reversal of 70358544 is 44585307.

The square root of 70358544 is 8388.

It is a perfect power (a square), and thus also a powerful number.

70358544 is a `hidden beast` number, since 70 + 3 + 585 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14288400 + 56070144 = 3780^2 + 7488^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 70358499 and 70358508.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 301852 + ... + 302084.

Almost surely, 270358544 is an apocalyptic number.

70358544 is the 8388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70358544

70358544 is an abundant number, since it is smaller than the sum of its proper divisors (134157229).

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

70358544 is an equidigital number, since it uses as much as digits as its factorization.

70358544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The cubic root of 70358544 is about 412.8309806386.

Multiplying 70358544 by its sum of digits (36), we get a square (2532907584 = 503282).

70358544 divided by its sum of digits (36) gives a square (1954404 = 13982).

The spelling of 70358544 in words is "seventy million, three hundred fifty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 233 324 432 466 648 699 932 1296 1398 1864 2097 2796 3728 4194 5592 6291 8388 11184 12582 16776 18873 25164 33552 37746 50328 54289 75492 100656 108578 150984 162867 217156 301968 325734 434312 488601 651468 868624 977202 1302936 1465803 1954404 2605872 2931606 3908808 4397409 5863212 7817616 8794818 11726424 17589636 23452848 35179272 70358544