Search a number
-
+
314646420 = 223511476737
BaseRepresentation
bin10010110000010…
…001111110010100
3210221001200202010
4102300101332110
51121022141140
651115544220
710540310334
oct2260217624
9727050663
10314646420
11151678570
128945b070
135025851a
142db070c4
151c953880
hex12c11f94

314646420 has 48 divisors (see below), whose sum is σ = 961103808. Its totient is φ = 76277760.

The previous prime is 314646419. The next prime is 314646427. The reversal of 314646420 is 24646413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314646427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237709 + ... + 239028.

It is an arithmetic number, because the mean of its divisors is an integer number (20022996).

Almost surely, 2314646420 is an apocalyptic number.

314646420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314646420 is an abundant number, since it is smaller than the sum of its proper divisors (646457388).

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

314646420 is a wasteful number, since it uses less digits than its factorization.

314646420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476760 (or 476758 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 314646420 is about 17738.2755644397. The cubic root of 314646420 is about 680.1545352356.

The spelling of 314646420 in words is "three hundred fourteen million, six hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 476737 953474 1430211 1906948 2383685 2860422 4767370 5244107 5720844 7151055 9534740 10488214 14302110 15732321 20976428 26220535 28604220 31464642 52441070 62929284 78661605 104882140 157323210 314646420