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314605144 = 2379757917
BaseRepresentation
bin10010110000000…
…111111001011000
3210220222121010101
4102300013321120
51121014331034
651115025144
710540046110
oct2260077130
9726877111
10314605144
1115164a557
128943b1b4
13502427b9
142dad6040
151c946514
hex12c07e58

314605144 has 32 divisors (see below), whose sum is σ = 681115680. Its totient is φ = 133438464.

The previous prime is 314605141. The next prime is 314605153. The reversal of 314605144 is 441506413.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314605141) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 23527 + ... + 34390.

It is an arithmetic number, because the mean of its divisors is an integer number (21284865).

Almost surely, 2314605144 is an apocalyptic number.

It is an amenable number.

314605144 is an abundant number, since it is smaller than the sum of its proper divisors (366510536).

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

314605144 is a wasteful number, since it uses less digits than its factorization.

314605144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58027 (or 58023 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 314605144 is about 17737.1120535447. The cubic root of 314605144 is about 680.1247925525.

The spelling of 314605144 in words is "three hundred fourteen million, six hundred five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 97 194 388 679 776 1358 2716 5432 57917 115834 231668 405419 463336 810838 1621676 3243352 5617949 11235898 22471796 39325643 44943592 78651286 157302572 314605144