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64000332 = 223211295573
BaseRepresentation
bin1111010000100…
…1000101001100
311110102112221200
43310021011030
5112341002312
610203425500
71404664614
oct364110514
9143375850
1064000332
1133143440
1219525290
131034aa26
1486dda44
1559430dc
hex3d0914c

64000332 has 72 divisors (see below), whose sum is σ = 182604240. Its totient is φ = 18721920.

The previous prime is 64000319. The next prime is 64000351. The reversal of 64000332 is 23300046.

It is a super-2 number, since 2×640003322 = 8192084992220448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8698 + ... + 14270.

It is an arithmetic number, because the mean of its divisors is an integer number (2536170).

Almost surely, 264000332 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 64000332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91302120).

64000332 is an abundant number, since it is smaller than the sum of its proper divisors (118603908).

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

64000332 is a wasteful number, since it uses less digits than its factorization.

64000332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5623 (or 5618 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 64000332 is about 8000.0207499731. The cubic root of 64000332 is about 400.0006916655. Note that the first 3 decimals are identical.

Adding to 64000332 its reverse (23300046), we get a palindrome (87300378).

The spelling of 64000332 in words is "sixty-four million, three hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1914 2871 3828 5573 5742 11146 11484 16719 22292 33438 50157 61303 66876 100314 122606 161617 183909 200628 245212 323234 367818 484851 551727 646468 735636 969702 1103454 1454553 1777787 1939404 2206908 2909106 3555574 5333361 5818212 7111148 10666722 16000083 21333444 32000166 64000332