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64394240 = 210512577
BaseRepresentation
bin1111010110100…
…1010000000000
311111011120021212
43311221100000
5112441103430
610220105252
71411225211
oct365512000
9144146255
1064394240
1133392389
1219695228
1310458101
1487a3408
1559beb95
hex3d69400

64394240 has 44 divisors (see below), whose sum is σ = 154482996. Its totient is φ = 25755648.

The previous prime is 64394237. The next prime is 64394269. The reversal of 64394240 is 4249346.

64394240 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 43454464 + 20939776 = 6592^2 + 4576^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 64394197 and 64394206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1169 + ... + 11408.

Almost surely, 264394240 is an apocalyptic number.

It is an amenable number.

64394240 is an abundant number, since it is smaller than the sum of its proper divisors (90088756).

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

64394240 is a wasteful number, since it uses less digits than its factorization.

64394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12602 (or 12584 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 64394240 is about 8024.6021708244. The cubic root of 64394240 is about 400.8196526101.

The spelling of 64394240 in words is "sixty-four million, three hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 12577 25154 50308 62885 100616 125770 201232 251540 402464 503080 804928 1006160 1609856 2012320 3219712 4024640 6439424 8049280 12878848 16098560 32197120 64394240