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12934368 = 253297463
BaseRepresentation
bin110001010101…
…110011100000
3220100010121200
4301111303200
511302344433
61141121200
7214640346
oct61256340
926303550
1012934368
117334867
1243b9200
1328ab395
141a09996
151207613
hexc55ce0

12934368 has 72 divisors (see below), whose sum is σ = 37241568. Its totient is φ = 4257792.

The previous prime is 12934351. The next prime is 12934373. The reversal of 12934368 is 86343921.

12934368 is a `hidden beast` number, since 1 + 293 + 4 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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.

Its product of digits (31104) is a multiple of the sum of its prime factors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27705 + ... + 28167.

It is an arithmetic number, because the mean of its divisors is an integer number (517244).

Almost surely, 212934368 is an apocalyptic number.

12934368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12934368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18620784).

12934368 is an abundant number, since it is smaller than the sum of its proper divisors (24307200).

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

12934368 is a wasteful number, since it uses less digits than its factorization.

12934368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 565 counting only the distinct ones).

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

The square root of 12934368 is about 3596.4382380350. The cubic root of 12934368 is about 234.7371015039.

It can be divided in two parts, 1 and 2934368, that added together give a square (2934369 = 17132).

The spelling of 12934368 in words is "twelve million, nine hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 144 194 288 291 388 463 582 776 873 926 1164 1389 1552 1746 1852 2328 2778 3104 3492 3704 4167 4656 5556 6984 7408 8334 9312 11112 13968 14816 16668 22224 27936 33336 44448 44911 66672 89822 133344 134733 179644 269466 359288 404199 538932 718576 808398 1077864 1437152 1616796 2155728 3233592 4311456 6467184 12934368