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314364416 = 29613993
BaseRepresentation
bin10010101111001…
…101001000000000
3210220112100220112
4102233031020000
51120434130131
651105530452
710535024222
oct2257151000
9726470815
10314364416
111514a5703
1289343a28
135018a062
142da72412
151c8ea02b
hex12bcd200

314364416 has 20 divisors (see below), whose sum is σ = 628115862. Its totient is φ = 157181952.

The previous prime is 314364403. The next prime is 314364431. The reversal of 314364416 is 614463413.

It can be written as a sum of positive squares in only one way, i.e., 295840000 + 18524416 = 17200^2 + 4304^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 as a sum of consecutive naturals, namely, 306485 + ... + 307508.

Almost surely, 2314364416 is an apocalyptic number.

It is an amenable number.

314364416 is a deficient number, since it is larger than the sum of its proper divisors (313751446).

314364416 is an frugal number, since it uses more digits than its factorization.

314364416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614011 (or 613995 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 314364416 is about 17730.3247573190. The cubic root of 314364416 is about 679.9512767858.

The spelling of 314364416 in words is "three hundred fourteen million, three hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 613993 1227986 2455972 4911944 9823888 19647776 39295552 78591104 157182208 314364416