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64333332 = 22337431979
BaseRepresentation
bin1111010101101…
…0011000010100
311111001110202000
43311122120110
5112432131312
610214515300
71410552510
oct365323024
9144043660
1064333332
1133350648
1219665b30
131043647b
148789140
1559abadc
hex3d5a614

64333332 has 96 divisors (see below), whose sum is σ = 195148800. Its totient is φ = 17944416.

The previous prime is 64333331. The next prime is 64333349. The reversal of 64333332 is 23333346.

64333332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 64333296 and 64333305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64333331) 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 31 ways as a sum of consecutive naturals, for example, 31519 + ... + 33497.

It is an arithmetic number, because the mean of its divisors is an integer number (2032800).

Almost surely, 264333332 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 64333332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97574400).

64333332 is an abundant number, since it is smaller than the sum of its proper divisors (130815468).

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

64333332 is a wasteful number, since it uses less digits than its factorization.

64333332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2034 counting only the distinct ones).

The product of its digits is 11664, while the sum is 27.

The square root of 64333332 is about 8020.8061938935. The cubic root of 64333332 is about 400.6932395200.

Adding to 64333332 its reverse (23333346), we get a palindrome (87666678).

The spelling of 64333332 in words is "sixty-four million, three hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 84 86 108 126 129 172 189 252 258 301 378 387 516 602 756 774 903 1161 1204 1548 1806 1979 2322 2709 3612 3958 4644 5418 5937 7916 8127 10836 11874 13853 16254 17811 23748 27706 32508 35622 41559 53433 55412 71244 83118 85097 106866 124677 166236 170194 213732 249354 255291 340388 374031 498708 510582 595679 748062 765873 1021164 1191358 1496124 1531746 1787037 2297619 2382716 3063492 3574074 4595238 5361111 7148148 9190476 10722222 16083333 21444444 32166666 64333332