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314400102 = 2352400017
BaseRepresentation
bin10010101111010…
…101110101100110
3210220121011212020
4102233111311212
51120441300402
651110404010
710535233242
oct2257256546
9726534766
10314400102
1115151a4a5
1289360606
13501a0383
142da81422
151c9058bc
hex12bd5d66

314400102 has 8 divisors (see below), whose sum is σ = 628800216. Its totient is φ = 104800032.

The previous prime is 314400071. The next prime is 314400103. The reversal of 314400102 is 201004413.

It is a sphenic number, since it is the product of 3 distinct primes.

314400102 is an admirable number.

It is a super-2 number, since 2×3144001022 = 197694848275220808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314400103) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 26200003 + ... + 26200014.

It is an arithmetic number, because the mean of its divisors is an integer number (78600027).

Almost surely, 2314400102 is an apocalyptic number.

314400102 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

314400102 is a wasteful number, since it uses less digits than its factorization.

314400102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52400022.

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

The square root of 314400102 is about 17731.3310837060. The cubic root of 314400102 is about 679.9770047010.

Adding to 314400102 its reverse (201004413), we get a palindrome (515404515).

The spelling of 314400102 in words is "three hundred fourteen million, four hundred thousand, one hundred two".

Divisors: 1 2 3 6 52400017 104800034 157200051 314400102