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314320420 = 225191794621
BaseRepresentation
bin10010101111000…
…010011000100100
3210220110010120001
4102233002120210
51120431223140
651104551044
710534452031
oct2257023044
9726403501
10314320420
11151475647
1289322484
135017301b
142da60388
151c8dbe9a
hex12bc2624

314320420 has 48 divisors (see below), whose sum is σ = 698846400. Its totient is φ = 118419840.

The previous prime is 314320397. The next prime is 314320423. The reversal of 314320420 is 24023413.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (314320423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65710 + ... + 70330.

It is an arithmetic number, because the mean of its divisors is an integer number (14559300).

Almost surely, 2314320420 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 314320420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349423200).

314320420 is an abundant number, since it is smaller than the sum of its proper divisors (384525980).

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

314320420 is a wasteful number, since it uses less digits than its factorization.

314320420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4828 (or 4826 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 314320420 is about 17729.0840146918. The cubic root of 314320420 is about 679.9195550742.

Adding to 314320420 its reverse (24023413), we get a palindrome (338343833).

The spelling of 314320420 in words is "three hundred fourteen million, three hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 179 190 358 380 716 895 1790 3401 3580 4621 6802 9242 13604 17005 18484 23105 34010 46210 68020 87799 92420 175598 351196 438995 827159 877990 1654318 1755980 3308636 4135795 8271590 15716021 16543180 31432042 62864084 78580105 157160210 314320420