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70396416 = 293215277
BaseRepresentation
bin1000011001000…
…10101000000000
311220110111201200
410030202220000
5121010141131
610552501200
71513234236
oct414425000
9156414650
1070396416
1136811962
121b6aa800
131177a0ac
1494c6956
1562a82e6
hex4322a00

70396416 has 60 divisors (see below), whose sum is σ = 203182122. Its totient is φ = 23463936.

The previous prime is 70396393. The next prime is 70396589. The reversal of 70396416 is 61469307.

70396416 is a `hidden beast` number, since 7 + 0 + 3 + 9 + 641 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68956416 + 1440000 = 8304^2 + 1200^2 .

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

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 3031 + ... + 12246.

Almost surely, 270396416 is an apocalyptic number.

It is an amenable number.

70396416 is an abundant number, since it is smaller than the sum of its proper divisors (132785706).

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

70396416 is a wasteful number, since it uses less digits than its factorization.

70396416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15301 (or 15282 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 70396416 is about 8390.2572070229. The cubic root of 70396416 is about 412.9050390713.

The spelling of 70396416 in words is "seventy million, three hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 15277 30554 45831 61108 91662 122216 137493 183324 244432 274986 366648 488864 549972 733296 977728 1099944 1466592 1955456 2199888 2933184 3910912 4399776 5866368 7821824 8799552 11732736 17599104 23465472 35198208 70396416