Search a number
-
+
314873090 = 25743731433
BaseRepresentation
bin10010110001001…
…001010100000010
3210221111012200022
4102301021110002
51121101414330
651124453442
710542243230
oct2261112402
9727435608
10314873090
111518128a4
128954a282
135030774c
142db65950
151c99aae5
hex12c49502

314873090 has 64 divisors (see below), whose sum is σ = 672350976. Its totient is φ = 103928832.

The previous prime is 314873023. The next prime is 314873093. The reversal of 314873090 is 90378413.

It is a super-2 number, since 2×3148730902 = 198290125612296200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 314873090.

It is not an unprimeable number, because it can be changed into a prime (314873093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219014 + ... + 220446.

It is an arithmetic number, because the mean of its divisors is an integer number (10505484).

Almost surely, 2314873090 is an apocalyptic number.

314873090 is an abundant number, since it is smaller than the sum of its proper divisors (357477886).

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

314873090 is a wasteful number, since it uses less digits than its factorization.

314873090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563.

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 314873090 is about 17744.6637049001. The cubic root of 314873090 is about 680.3178228840.

The spelling of 314873090 in words is "three hundred fourteen million, eight hundred seventy-three thousand, ninety".

Divisors: 1 2 5 7 10 14 35 43 70 73 86 146 215 301 365 430 511 602 730 1022 1433 1505 2555 2866 3010 3139 5110 6278 7165 10031 14330 15695 20062 21973 31390 43946 50155 61619 100310 104609 109865 123238 209218 219730 308095 431333 523045 616190 732263 862666 1046090 1464526 2156665 3661315 4313330 4498187 7322630 8996374 22490935 31487309 44981870 62974618 157436545 314873090