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213634368 = 2633123631
BaseRepresentation
bin11001011101111…
…00110101000000
3112212222202021000
430232330311000
5414142244433
633110532000
75202601503
oct1456746500
9485882230
10213634368
11aa655732
125b667000
133534c18c
142053113a
1513b4e113
hexcbbcd40

213634368 has 56 divisors (see below), whose sum is σ = 628050560. Its totient is φ = 71210880.

The previous prime is 213634357. The next prime is 213634409. The reversal of 213634368 is 863436312.

213634368 is a `hidden beast` number, since 2 + 13 + 634 + 3 + 6 + 8 = 666.

213634368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60088 + ... + 63543.

Almost surely, 2213634368 is an apocalyptic number.

It is an amenable number.

213634368 is an abundant number, since it is smaller than the sum of its proper divisors (414416192).

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

213634368 is a wasteful number, since it uses less digits than its factorization.

213634368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123652 (or 123636 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 213634368 is about 14616.2364512894. The cubic root of 213634368 is about 597.8015545678.

The spelling of 213634368 in words is "two hundred thirteen million, six hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 123631 247262 370893 494524 741786 989048 1112679 1483572 1978096 2225358 2967144 3338037 3956192 4450716 5934288 6676074 7912384 8901432 11868576 13352148 17802864 23737152 26704296 35605728 53408592 71211456 106817184 213634368