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1057694304 = 25317648097
BaseRepresentation
bin111111000010110…
…010001001100000
32201201020102211010
4333002302021200
54131232204204
6252542020520
735132152602
oct7702621140
92651212733
101057694304
114a304a427
12256277740
1313b18a824
14a0689172
1562ccad89
hex3f0b2260

1057694304 has 48 divisors (see below), whose sum is σ = 2939772528. Its totient is φ = 331825152.

The previous prime is 1057694303. The next prime is 1057694329. The reversal of 1057694304 is 4034967501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10576943042 = 2237434481428088832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057694303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 322417 + ... + 325680.

It is an arithmetic number, because the mean of its divisors is an integer number (61245261).

Almost surely, 21057694304 is an apocalyptic number.

It is an amenable number.

1057694304 is an abundant number, since it is smaller than the sum of its proper divisors (1882078224).

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

1057694304 is a wasteful number, since it uses less digits than its factorization.

1057694304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648127 (or 648119 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 1057694304 is about 32522.2124708637. The cubic root of 1057694304 is about 1018.8730036081.

The spelling of 1057694304 in words is "one billion, fifty-seven million, six hundred ninety-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 648097 1296194 1944291 2592388 3888582 5184776 7777164 10369552 11017649 15554328 20739104 22035298 31108656 33052947 44070596 62217312 66105894 88141192 132211788 176282384 264423576 352564768 528847152 1057694304