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2372864 = 28132331
BaseRepresentation
bin1001000011010100000000
311110112221212
421003110000
51101412424
6122505252
726111654
oct11032400
94415855
102372864
11138084a
12965228
13651080
1445aa64
1531d10e
hex243500

2372864 has 72 divisors (see below), whose sum is σ = 5494272. Its totient is φ = 1013760.

The previous prime is 2372861. The next prime is 2372873. The reversal of 2372864 is 4682732.

2372864 = T227 + T228 + ... + T295.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2372864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2372861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76529 + ... + 76559.

22372864 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 2372864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747136).

2372864 is an abundant number, since it is smaller than the sum of its proper divisors (3121408).

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

2372864 is a wasteful number, since it uses less digits than its factorization.

2372864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 69 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 2372864 is about 1540.4103349433. The cubic root of 2372864 is about 133.3800725028.

The spelling of 2372864 in words is "two million, three hundred seventy-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 23 26 31 32 46 52 62 64 92 104 124 128 184 208 248 256 299 368 403 416 496 598 713 736 806 832 992 1196 1426 1472 1612 1664 1984 2392 2852 2944 3224 3328 3968 4784 5704 5888 6448 7936 9269 9568 11408 12896 18538 19136 22816 25792 37076 38272 45632 51584 74152 76544 91264 103168 148304 182528 296608 593216 1186432 2372864