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64312320 = 210355379
BaseRepresentation
bin1111010101010…
…1010000000000
311111000101220210
43311111100000
5112430443240
610214234120
71410434322
oct365252000
9144011823
1064312320
1133336886
1219655940
1310429a37
148781612
1559a5780
hex3d55400

64312320 has 176 divisors, whose sum is σ = 212232960. Its totient is φ = 16613376.

The previous prime is 64312291. The next prime is 64312357. The reversal of 64312320 is 2321346.

It is a happy number.

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 814041 + ... + 814119.

Almost surely, 264312320 is an apocalyptic number.

64312320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106116480).

64312320 is an abundant number, since it is smaller than the sum of its proper divisors (147920640).

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

64312320 is a wasteful number, since it uses less digits than its factorization.

64312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 64312320 is about 8019.4962435305. The cubic root of 64312320 is about 400.6496111091.

Adding to 64312320 its reverse (2321346), we get a palindrome (66633666).

The spelling of 64312320 in words is "sixty-four million, three hundred twelve thousand, three hundred twenty".