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64404384 = 2531171859
BaseRepresentation
bin1111010110101…
…1101110100000
311111012002012120
43311223232200
5112441420014
610220224240
71411266612
oct365535640
9144162176
1064404384
1133399a70
121969b080
131045c905
1487a6db2
1559c2ba9
hex3d6bba0

64404384 has 96 divisors (see below), whose sum is σ = 187246080. Its totient is φ = 19219200.

The previous prime is 64404371. The next prime is 64404413. The reversal of 64404384 is 48340446.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 74547 + ... + 75405.

It is an arithmetic number, because the mean of its divisors is an integer number (1950480).

Almost surely, 264404384 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 64404384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93623040).

64404384 is an abundant number, since it is smaller than the sum of its proper divisors (122841696).

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

64404384 is a wasteful number, since it uses less digits than its factorization.

64404384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 64404384 is about 8025.2342021900. The cubic root of 64404384 is about 400.8406984939.

The spelling of 64404384 in words is "sixty-four million, four hundred four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 71 88 96 132 142 176 213 264 284 352 426 528 568 781 852 859 1056 1136 1562 1704 1718 2272 2343 2577 3124 3408 3436 4686 5154 6248 6816 6872 9372 9449 10308 12496 13744 18744 18898 20616 24992 27488 28347 37488 37796 41232 56694 60989 74976 75592 82464 113388 121978 151184 182967 226776 243956 302368 365934 453552 487912 670879 731868 907104 975824 1341758 1463736 1951648 2012637 2683516 2927472 4025274 5367032 5854944 8050548 10734064 16101096 21468128 32202192 64404384