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12294064 = 2419371093
BaseRepresentation
bin101110111001…
…011110110000
3212010121021201
4232321132300
511121402224
61115300544
7206332516
oct56713660
925117251
1012294064
116a37792
12414a754
132715ac3
1418c04b6
15112ca44
hexbb97b0

12294064 has 40 divisors (see below), whose sum is σ = 25774640. Its totient is φ = 5660928.

The previous prime is 12294053. The next prime is 12294067. The reversal of 12294064 is 46049221.

It is a super-2 number, since 2×122940642 = 302288019272192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12294067) 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, 10702 + ... + 11794.

It is an arithmetic number, because the mean of its divisors is an integer number (644366).

Almost surely, 212294064 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 12294064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12887320).

12294064 is an abundant number, since it is smaller than the sum of its proper divisors (13480576).

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

12294064 is a wasteful number, since it uses less digits than its factorization.

12294064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 12294064 is about 3506.2892065544. The cubic root of 12294064 is about 230.7978842142.

The spelling of 12294064 in words is "twelve million, two hundred ninety-four thousand, sixty-four".

Divisors: 1 2 4 8 16 19 37 38 74 76 148 152 296 304 592 703 1093 1406 2186 2812 4372 5624 8744 11248 17488 20767 40441 41534 80882 83068 161764 166136 323528 332272 647056 768379 1536758 3073516 6147032 12294064