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64304832 = 2632911549
BaseRepresentation
bin1111010101001…
…1011011000000
311111000000122110
43311103123000
5112430223312
610214135320
71410403434
oct365233300
9144000573
1064304832
1133331199
1219651540
13104264c7
14877c9c4
1559a343c
hex3d536c0

64304832 has 56 divisors (see below), whose sum is σ = 176022000. Its totient is φ = 20694016.

The previous prime is 64304813. The next prime is 64304837. The reversal of 64304832 is 23840346.

64304832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×643048322 = 8270222837096448, which contains 22 as substring.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 64304832.

It is not an unprimeable number, because it can be changed into a prime (64304837) 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, 207 + ... + 11342.

It is an arithmetic number, because the mean of its divisors is an integer number (3143250).

Almost surely, 264304832 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 64304832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88011000).

64304832 is an abundant number, since it is smaller than the sum of its proper divisors (111717168).

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

64304832 is a wasteful number, since it uses less digits than its factorization.

64304832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11593 (or 11583 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 64304832 is about 8019.0293676978. The cubic root of 64304832 is about 400.6340610521.

The spelling of 64304832 in words is "sixty-four million, three hundred four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 5568 11549 23098 34647 46196 69294 92392 138588 184784 277176 334921 369568 554352 669842 739136 1004763 1108704 1339684 2009526 2217408 2679368 4019052 5358736 8038104 10717472 16076208 21434944 32152416 64304832