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314081424 = 24328532557
BaseRepresentation
bin10010101110001…
…000000010010000
3210212222222201100
4102232020002100
51120401101144
651055504400
710532435166
oct2256100220
9725888640
10314081424
11151322028
1289228100
13500bb2c7
142d9db236
151c891269
hex12b88090

314081424 has 60 divisors (see below), whose sum is σ = 880366396. Its totient is φ = 104530176.

The previous prime is 314081423. The next prime is 314081431. The reversal of 314081424 is 424180413.

It can be written as a sum of positive squares in 2 ways, for example, as 66585600 + 247495824 = 8160^2 + 15732^2 .

It is not an unprimeable number, because it can be changed into a prime (314081423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121554 + ... + 124110.

Almost surely, 2314081424 is an apocalyptic number.

It is an amenable number.

314081424 is an abundant number, since it is smaller than the sum of its proper divisors (566284972).

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

314081424 is a wasteful number, since it uses less digits than its factorization.

314081424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 314081424 is about 17722.3425088220. The cubic root of 314081424 is about 679.7471839876.

The spelling of 314081424 in words is "three hundred fourteen million, eighty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 853 1706 2557 2559 3412 5114 5118 6824 7671 7677 10228 10236 13648 15342 15354 20456 20472 23013 30684 30708 40912 40944 46026 61368 61416 92052 122736 122832 184104 368208 2181121 4362242 6543363 8724484 13086726 17448968 19630089 26173452 34897936 39260178 52346904 78520356 104693808 157040712 314081424