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210400314 = 23109332083
BaseRepresentation
bin11001000101001…
…11010000111010
3112122220102222020
430202213100322
5412330302224
632513335310
75133241665
oct1442472072
9478812866
10210400314
11a8846963
125a567536
1334789137
141dd2c6dc
1513710c79
hexc8a743a

210400314 has 16 divisors (see below), whose sum is σ = 421198752. Its totient is φ = 70067088.

The previous prime is 210400291. The next prime is 210400339. The reversal of 210400314 is 413004012.

It is a junction number, because it is equal to n+sod(n) for n = 210400293 and 210400302.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9484 + ... + 22599.

It is an arithmetic number, because the mean of its divisors is an integer number (26324922).

Almost surely, 2210400314 is an apocalyptic number.

210400314 is an abundant number, since it is smaller than the sum of its proper divisors (210798438).

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

210400314 is a wasteful number, since it uses less digits than its factorization.

210400314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33181.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 210400314 is about 14505.1823152968. The cubic root of 210400314 is about 594.7696436626.

Adding to 210400314 its reverse (413004012), we get a palindrome (623404326).

The spelling of 210400314 in words is "two hundred ten million, four hundred thousand, three hundred fourteen".

Divisors: 1 2 3 6 1093 2186 3279 6558 32083 64166 96249 192498 35066719 70133438 105200157 210400314