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64388240 = 2457313709
BaseRepresentation
bin1111010110011…
…1110010010000
311111011021001122
43311213302100
5112440410430
610220021412
71411201550
oct365476220
9144137048
1064388240
1133388924
1219691868
1310455467
1487a1160
1559bcee5
hex3d67c90

64388240 has 80 divisors (see below), whose sum is σ = 176655360. Its totient is φ = 21358080.

The previous prime is 64388237. The next prime is 64388257. The reversal of 64388240 is 4288346.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 64388240.

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, 15506 + ... + 19214.

It is an arithmetic number, because the mean of its divisors is an integer number (2208192).

Almost surely, 264388240 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 64388240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88327680).

64388240 is an abundant number, since it is smaller than the sum of its proper divisors (112267120).

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

64388240 is a wasteful number, since it uses less digits than its factorization.

64388240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3760 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 64388240 is about 8024.2283118067. The cubic root of 64388240 is about 400.8072032947.

The spelling of 64388240 in words is "sixty-four million, three hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 1085 1240 1736 2170 2480 3472 3709 4340 7418 8680 14836 17360 18545 25963 29672 37090 51926 59344 74180 103852 114979 129815 148360 207704 229958 259630 296720 415408 459916 519260 574895 804853 919832 1038520 1149790 1609706 1839664 2077040 2299580 3219412 4024265 4599160 6438824 8048530 9198320 12877648 16097060 32194120 64388240