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64374640 = 24511191383
BaseRepresentation
bin1111010110010…
…0011101110000
311111010120101221
43311210131300
5112434442030
610215434424
71411114111
oct365443560
9144116357
1064374640
1133379690
1219685a14
131044c205
14879a208
1559b8e7a
hex3d64770

64374640 has 80 divisors (see below), whose sum is σ = 164560896. Its totient is φ = 23225600.

The previous prime is 64374619. The next prime is 64374647. The reversal of 64374640 is 4647346.

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

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 64374596 and 64374605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64374647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167889 + ... + 168271.

Almost surely, 264374640 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 64374640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82280448).

64374640 is an abundant number, since it is smaller than the sum of its proper divisors (100186256).

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

64374640 is a wasteful number, since it uses less digits than its factorization.

64374640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 64374640 is about 8023.3808335389. The cubic root of 64374640 is about 400.7789819829.

The spelling of 64374640 in words is "sixty-four million, three hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 191 220 382 383 440 764 766 880 955 1528 1532 1910 1915 2101 3056 3064 3820 3830 4202 4213 6128 7640 7660 8404 8426 10505 15280 15320 16808 16852 21010 21065 30640 33616 33704 42020 42130 67408 73153 84040 84260 146306 168080 168520 292612 337040 365765 585224 731530 804683 1170448 1463060 1609366 2926120 3218732 4023415 5852240 6437464 8046830 12874928 16093660 32187320 64374640