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3812864 = 2911677
BaseRepresentation
bin1110100010111000000000
321011201021012
432202320000
51434002424
6213420052
744260136
oct16427000
97151235
103812864
112174730
12133a628
13a36643
14713756
15504b0e
hex3a2e00

3812864 has 40 divisors (see below), whose sum is σ = 8323128. Its totient is φ = 1730560.

The previous prime is 3812843. The next prime is 3812899. The reversal of 3812864 is 4682183.

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 3812864.

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, 5294 + ... + 5970.

Almost surely, 23812864 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 3812864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161564).

3812864 is an abundant number, since it is smaller than the sum of its proper divisors (4510264).

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

3812864 is an equidigital number, since it uses as much as digits as its factorization.

3812864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 690 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 3812864 is about 1952.6556276005. The cubic root of 3812864 is about 156.2249658026.

The spelling of 3812864 in words is "three million, eight hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 677 704 1354 1408 2708 2816 5416 5632 7447 10832 14894 21664 29788 43328 59576 86656 119152 173312 238304 346624 476608 953216 1906432 3812864