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64303680 = 2635721367
BaseRepresentation
bin1111010101001…
…1001001000000
311110222222001210
43311103021000
5112430204210
610214130120
71410400200
oct365231100
9143888053
1064303680
1133330341
1219650940
1310425b1c
14877c400
1559a2e20
hex3d53240

64303680 has 168 divisors, whose sum is σ = 237670848. Its totient is φ = 14687232.

The previous prime is 64303633. The next prime is 64303691. The reversal of 64303680 is 8630346.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 46357 + ... + 47723.

Almost surely, 264303680 is an apocalyptic number.

64303680 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 64303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118835424).

64303680 is an abundant number, since it is smaller than the sum of its proper divisors (173367168).

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

64303680 is a wasteful number, since it uses less digits than its factorization.

64303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 64303680 is about 8018.9575382340. The cubic root of 64303680 is about 400.6316686284.

The spelling of 64303680 in words is "sixty-four million, three hundred three thousand, six hundred eighty".