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314305638 = 23194758661
BaseRepresentation
bin10010101110111…
…110110001100110
3210220102101021120
4102232332301212
51120430240023
651104354410
710534360653
oct2256766146
9726371246
10314305638
11151465529
1289315a06
135016938a
142da58c2a
151c8d78e3
hex12bbec66

314305638 has 32 divisors (see below), whose sum is σ = 675786240. Its totient is φ = 97140960.

The previous prime is 314305613. The next prime is 314305669. The reversal of 314305638 is 836503413.

314305638 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 = 314305599 and 314305608.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 23973 + ... + 34688.

It is an arithmetic number, because the mean of its divisors is an integer number (21118320).

Almost surely, 2314305638 is an apocalyptic number.

314305638 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

314305638 is an abundant number, since it is smaller than the sum of its proper divisors (361480602).

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

314305638 is a wasteful number, since it uses less digits than its factorization.

314305638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58732.

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 314305638 is about 17728.6671241805. The cubic root of 314305638 is about 679.9088963877.

The spelling of 314305638 in words is "three hundred fourteen million, three hundred five thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 19 38 47 57 94 114 141 282 893 1786 2679 5358 58661 117322 175983 351966 1114559 2229118 2757067 3343677 5514134 6687354 8271201 16542402 52384273 104768546 157152819 314305638