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314034200 = 23521792363
BaseRepresentation
bin10010101101111…
…100100000011000
3210212220120221022
4102231330200120
51120343043300
651054502012
710532150414
oct2255744030
9725816838
10314034200
1115129a5a7
1289204908
13500a296c
142d9c7d44
151c882285
hex12b7c818

314034200 has 48 divisors (see below), whose sum is σ = 773086680. Its totient is φ = 118223360.

The previous prime is 314034191. The next prime is 314034209. The reversal of 314034200 is 2430413.

It is an interprime number because it is at equal distance from previous prime (314034191) and next prime (314034209).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314034209) 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 11 ways as a sum of consecutive naturals, for example, 42782 + ... + 49581.

Almost surely, 2314034200 is an apocalyptic number.

It is an amenable number.

314034200 is an abundant number, since it is smaller than the sum of its proper divisors (459052480).

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

314034200 is a wasteful number, since it uses less digits than its factorization.

314034200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92396 (or 92387 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 314034200 is about 17721.0101292223. The cubic root of 314034200 is about 679.7131142767.

Adding to 314034200 its reverse (2430413), we get a palindrome (316464613).

The spelling of 314034200 in words is "three hundred fourteen million, thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 92363 184726 369452 461815 738904 923630 1570171 1847260 2309075 3140342 3694520 4618150 6280684 7850855 9236300 12561368 15701710 18472600 31403420 39254275 62806840 78508550 157017100 314034200