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64326312 = 2334531873
BaseRepresentation
bin1111010101100…
…0101010101000
311111001010010000
43311120222220
5112431420222
610214423000
71410523161
oct365305250
9144033100
1064326312
1133346346
1219661a60
131043320b
148786768
1559a99ac
hex3d58aa8

64326312 has 80 divisors (see below), whose sum is σ = 183670740. Its totient is φ = 21026304.

The previous prime is 64326299. The next prime is 64326337. The reversal of 64326312 is 21362346.

64326312 is a `hidden beast` number, since 643 + 2 + 6 + 3 + 12 = 666.

64326312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 61873956 + 2452356 = 7866^2 + 1566^2 .

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 an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 33408 + ... + 35280.

Almost surely, 264326312 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 64326312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91835370).

64326312 is an abundant number, since it is smaller than the sum of its proper divisors (119344428).

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

64326312 is a wasteful number, since it uses less digits than its factorization.

64326312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1931 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 64326312 is about 8020.3685700845. The cubic root of 64326312 is about 400.6786645515.

Adding to 64326312 its reverse (21362346), we get a palindrome (85688658).

The spelling of 64326312 in words is "sixty-four million, three hundred twenty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 318 324 424 477 636 648 954 1272 1431 1873 1908 2862 3746 3816 4293 5619 5724 7492 8586 11238 11448 14984 16857 17172 22476 33714 34344 44952 50571 67428 99269 101142 134856 151713 198538 202284 297807 303426 397076 404568 595614 606852 794152 893421 1191228 1213704 1786842 2382456 2680263 3573684 5360526 7147368 8040789 10721052 16081578 21442104 32163156 64326312