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314590430 = 257111273217
BaseRepresentation
bin10010110000000…
…100010011011110
3210220221211221102
4102300010103132
51121013343210
651114433102
710536655160
oct2260042336
9726854842
10314590430
1115163a4a0
1289432792
1350238bab
142dad0930
151c941ea5
hex12c044de

314590430 has 64 divisors (see below), whose sum is σ = 711770112. Its totient is φ = 97251840.

The previous prime is 314590369. The next prime is 314590433. The reversal of 314590430 is 34095413.

It is a junction number, because it is equal to n+sod(n) for n = 314590393 and 314590402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314590433) 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, 96182 + ... + 99398.

It is an arithmetic number, because the mean of its divisors is an integer number (11121408).

Almost surely, 2314590430 is an apocalyptic number.

314590430 is an abundant number, since it is smaller than the sum of its proper divisors (397179682).

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

314590430 is a wasteful number, since it uses less digits than its factorization.

314590430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369.

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 314590430 is about 17736.6972686574. The cubic root of 314590430 is about 680.1141893011.

The spelling of 314590430 in words is "three hundred fourteen million, five hundred ninety thousand, four hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 127 154 254 385 635 770 889 1270 1397 1778 2794 3217 4445 6434 6985 8890 9779 13970 16085 19558 22519 32170 35387 45038 48895 70774 97790 112595 176935 225190 247709 353870 408559 495418 817118 1238545 2042795 2477090 2859913 4085590 4494149 5719826 8988298 14299565 22470745 28599130 31459043 44941490 62918086 157295215 314590430