Search a number
-
+
314312430 = 23515766733
BaseRepresentation
bin10010101111000…
…000011011101110
3210220102201121010
4102233000123232
51120430444210
651104450050
710534416525
oct2257003356
9726381533
10314312430
1115146a643
1289319926
135016c4b3
142da5b4bc
151c8d9920
hex12bc06ee

314312430 has 32 divisors (see below), whose sum is σ = 759165984. Its totient is φ = 83281536.

The previous prime is 314312429. The next prime is 314312483. The reversal of 314312430 is 34213413.

314312430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 314312397 and 314312406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28657 + ... + 38076.

It is an arithmetic number, because the mean of its divisors is an integer number (23723937).

Almost surely, 2314312430 is an apocalyptic number.

314312430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

314312430 is an abundant number, since it is smaller than the sum of its proper divisors (444853554).

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

314312430 is a wasteful number, since it uses less digits than its factorization.

314312430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66900.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 314312430 is about 17728.8586773092. The cubic root of 314312430 is about 679.9137938584.

Adding to 314312430 its reverse (34213413), we get a palindrome (348525843).

The spelling of 314312430 in words is "three hundred fourteen million, three hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 157 314 471 785 942 1570 2355 4710 66733 133466 200199 333665 400398 667330 1000995 2001990 10477081 20954162 31431243 52385405 62862486 104770810 157156215 314312430