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512014314 = 237294110253
BaseRepresentation
bin11110100001001…
…011011111101010
31022200110000121010
4132201023133222
52022033424224
6122450124350
715455023050
oct3641133752
91280400533
10512014314
11243022a29
121235806b6
1382100766
144c0021d0
152ee3ce29
hex1e84b7ea

512014314 has 64 divisors (see below), whose sum is σ = 1240323840. Its totient is φ = 137786880.

The previous prime is 512014303. The next prime is 512014333. The reversal of 512014314 is 413410215.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44812 + ... + 55064.

It is an arithmetic number, because the mean of its divisors is an integer number (19380060).

Almost surely, 2512014314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512014314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620161920).

512014314 is an abundant number, since it is smaller than the sum of its proper divisors (728309526).

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

512014314 is a wasteful number, since it uses less digits than its factorization.

512014314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10335.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 512014314 is about 22627.7332934609. The cubic root of 512014314 is about 800.0074551389.

Adding to 512014314 its reverse (413410215), we get a palindrome (925424529).

The spelling of 512014314 in words is "five hundred twelve million, fourteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 29 41 42 58 82 87 123 174 203 246 287 406 574 609 861 1189 1218 1722 2378 3567 7134 8323 10253 16646 20506 24969 30759 49938 61518 71771 143542 215313 297337 420373 430626 594674 840746 892011 1261119 1784022 2081359 2522238 2942611 4162718 5885222 6244077 8827833 12190817 12488154 17655666 24381634 36572451 73144902 85335719 170671438 256007157 512014314