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12295314 = 238937
BaseRepresentation
bin101110111001…
…110010010010
3212010200000000
4232321302102
511121422224
61115310430
7206336253
oct56716222
925120000
1012295314
116a38719
12414b416
132716545
1418c0b2a
15112d0c9
hexbb9c92

12295314 has 36 divisors (see below), whose sum is σ = 27692574. Its totient is φ = 4094064.

The previous prime is 12295277. The next prime is 12295321. The reversal of 12295314 is 41359221.

12295314 is a `hidden beast` number, since 122 + 9 + 531 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12131289 + 164025 = 3483^2 + 405^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12654 + ... + 13590.

Almost surely, 212295314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12295314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13846287).

12295314 is an abundant number, since it is smaller than the sum of its proper divisors (15397260).

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

12295314 is an frugal number, since it uses more digits than its factorization.

12295314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 942 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 12295314 is about 3506.4674531500. The cubic root of 12295314 is about 230.8057060806.

The spelling of 12295314 in words is "twelve million, two hundred ninety-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 937 1458 1874 2187 2811 4374 5622 6561 8433 13122 16866 25299 50598 75897 151794 227691 455382 683073 1366146 2049219 4098438 6147657 12295314