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314312780 = 225373831109
BaseRepresentation
bin10010101111000…
…000100001001100
3210220102202002002
4102233000201030
51120431002110
651104451432
710534420535
oct2257004114
9726382062
10314312780
1115146a931
1289319b78
135016c6c2
142da5b68c
151c8d9aa5
hex12bc084c

314312780 has 48 divisors (see below), whose sum is σ = 680279040. Its totient is φ = 121897728.

The previous prime is 314312773. The next prime is 314312807. The reversal of 314312780 is 87213413.

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 in 15 ways as a sum of consecutive naturals, for example, 282866 + ... + 283974.

It is an arithmetic number, because the mean of its divisors is an integer number (14172480).

Almost surely, 2314312780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314312780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340139520).

314312780 is an abundant number, since it is smaller than the sum of its proper divisors (365966260).

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

314312780 is a wasteful number, since it uses less digits than its factorization.

314312780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 314312780 is about 17728.8685482182. The cubic root of 314312780 is about 679.9140462291.

The spelling of 314312780 in words is "three hundred fourteen million, three hundred twelve thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 383 740 766 1109 1532 1915 2218 3830 4436 5545 7660 11090 14171 22180 28342 41033 56684 70855 82066 141710 164132 205165 283420 410330 424747 820660 849494 1698988 2123735 4247470 8494940 15715639 31431278 62862556 78578195 157156390 314312780