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314468900 = 22523144689
BaseRepresentation
bin10010101111100…
…110101000100100
3210220201200020022
4102233212220210
51121001001100
651112054312
710535640644
oct2257465044
9726650208
10314468900
11151567159
1289394398
13501c5795
142da9c524
151c91ae85
hex12be6a24

314468900 has 18 divisors (see below), whose sum is σ = 682397730. Its totient is φ = 125787520.

The previous prime is 314468881. The next prime is 314468911. The reversal of 314468900 is 9864413.

It can be written as a sum of positive squares in 3 ways, for example, as 77862976 + 236605924 = 8824^2 + 15382^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1572245 + ... + 1572444.

It is an arithmetic number, because the mean of its divisors is an integer number (37910985).

Almost surely, 2314468900 is an apocalyptic number.

It is an amenable number.

314468900 is an abundant number, since it is smaller than the sum of its proper divisors (367928830).

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

314468900 is a wasteful number, since it uses less digits than its factorization.

314468900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144703 (or 3144696 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 314468900 is about 17733.2709898653. The cubic root of 314468900 is about 680.0265993055.

The spelling of 314468900 in words is "three hundred fourteen million, four hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3144689 6289378 12578756 15723445 31446890 62893780 78617225 157234450 314468900