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21934368 = 253353479
BaseRepresentation
bin101001110101…
…1000100100000
31112021101022000
41103223010200
521103344433
62102044000
7354303411
oct123530440
945241260
1021934368
1111421685
127419600
13470ca21
142cad808
151dd4113
hex14eb120

21934368 has 96 divisors (see below), whose sum is σ = 65318400. Its totient is φ = 7158528.

The previous prime is 21934357. The next prime is 21934373. The reversal of 21934368 is 86343912.

21934368 is a `hidden beast` number, since 219 + 3 + 436 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×219343682 = 962232999118848, which contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45553 + ... + 46031.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 221934368 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 21934368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32659200).

21934368 is an abundant number, since it is smaller than the sum of its proper divisors (43384032).

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

21934368 is a wasteful number, since it uses less digits than its factorization.

21934368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 537 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 21934368 is about 4683.4141392792. The cubic root of 21934368 is about 279.9250139336.

It can be divided in two parts, 2193 and 4368, that added together give a 8-th power (6561 = 38).

The spelling of 21934368 in words is "twenty-one million, nine hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 96 106 108 144 159 212 216 288 318 424 432 477 479 636 848 864 954 958 1272 1431 1437 1696 1908 1916 2544 2862 2874 3816 3832 4311 5088 5724 5748 7632 7664 8622 11448 11496 12933 15264 15328 17244 22896 22992 25387 25866 34488 45792 45984 50774 51732 68976 76161 101548 103464 137952 152322 203096 206928 228483 304644 406192 413856 456966 609288 685449 812384 913932 1218576 1370898 1827864 2437152 2741796 3655728 5483592 7311456 10967184 21934368