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314380120 = 23537212419
BaseRepresentation
bin10010101111010…
…000111101011000
3210220120011110011
4102233100331120
51120440130440
651110131304
710535121055
oct2257207530
9726504404
10314380120
1115150648a
1289350b34
1350194252
142da7802c
151c8ee9ea
hex12bd0f58

314380120 has 32 divisors (see below), whose sum is σ = 726476400. Its totient is φ = 122352768.

The previous prime is 314380117. The next prime is 314380139. The reversal of 314380120 is 21083413.

It is a junction number, because it is equal to n+sod(n) for n = 314380091 and 314380100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104730 + ... + 107689.

Almost surely, 2314380120 is an apocalyptic number.

It is an amenable number.

314380120 is an abundant number, since it is smaller than the sum of its proper divisors (412096280).

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

314380120 is a wasteful number, since it uses less digits than its factorization.

314380120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212467 (or 212463 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 314380120 is about 17730.7676088769. The cubic root of 314380120 is about 679.9625988656.

The spelling of 314380120 in words is "three hundred fourteen million, three hundred eighty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 212419 424838 849676 1062095 1699352 2124190 4248380 7859503 8496760 15719006 31438012 39297515 62876024 78595030 157190060 314380120