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1064308032 = 2633615919
BaseRepresentation
bin111111011100000…
…000110101000000
32202011200110011000
4333130000311000
54134430324112
6253335452000
735242316604
oct7734006500
92664613130
101064308032
114a6857417
12258527000
1313c664c88
14a14cb504
15636857dc
hex3f700d40

1064308032 has 56 divisors (see below), whose sum is σ = 3128873600. Its totient is φ = 354768768.

The previous prime is 1064307991. The next prime is 1064308039. The reversal of 1064308032 is 2308034601.

It is a happy number.

1064308032 is a `hidden beast` number, since 10 + 643 + 0 + 8 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×10643080322 = 2265503173959426048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1064307987 and 1064308005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064308039) 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, 306232 + ... + 309687.

Almost surely, 21064308032 is an apocalyptic number.

1064308032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1064308032 is an abundant number, since it is smaller than the sum of its proper divisors (2064565568).

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

1064308032 is an equidigital number, since it uses as much as digits as its factorization.

1064308032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615940 (or 615924 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1064308032 is about 32623.7341823403. The cubic root of 1064308032 is about 1020.9922524204.

The spelling of 1064308032 in words is "one billion, sixty-four million, three hundred eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 615919 1231838 1847757 2463676 3695514 4927352 5543271 7391028 9854704 11086542 14782056 16629813 19709408 22173084 29564112 33259626 39418816 44346168 59128224 66519252 88692336 118256448 133038504 177384672 266077008 354769344 532154016 1064308032