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254214312 = 233118811093
BaseRepresentation
bin11110010011100…
…00000010101000
3122201100102110220
433021300002220
51010034324222
641120410040
76204533412
oct1711600250
9581312426
10254214312
11120551a80
1271176920
1340889991
1425a959b2
15174b7b5c
hexf2700a8

254214312 has 64 divisors (see below), whose sum is σ = 694733760. Its totient is φ = 76876800.

The previous prime is 254214307. The next prime is 254214313. The reversal of 254214312 is 213412452.

254214312 is digitally balanced in base 3, 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 (24).

It is not an unprimeable number, because it can be changed into a prime (254214313) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 232038 + ... + 233130.

It is an arithmetic number, because the mean of its divisors is an integer number (10855215).

Almost surely, 2254214312 is an apocalyptic number.

254214312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

254214312 is an abundant number, since it is smaller than the sum of its proper divisors (440519448).

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

254214312 is a wasteful number, since it uses less digits than its factorization.

254214312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1990 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 254214312 is about 15944.0995982840. The cubic root of 254214312 is about 633.4806189923.

Adding to 254214312 its reverse (213412452), we get a palindrome (467626764).

The spelling of 254214312 in words is "two hundred fifty-four million, two hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 881 1093 1762 2186 2643 3279 3524 4372 5286 6558 7048 8744 9691 10572 12023 13116 19382 21144 24046 26232 29073 36069 38764 48092 58146 72138 77528 96184 116292 144276 232584 288552 962933 1925866 2888799 3851732 5777598 7703464 10592263 11555196 21184526 23110392 31776789 42369052 63553578 84738104 127107156 254214312