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314361100 = 225215720023
BaseRepresentation
bin10010101111001…
…100010100001100
3210220112012100201
4102233030110030
51120434023400
651105503244
710535011444
oct2257142414
9726465321
10314361100
111514a3169
1289341b24
13501886b1
142da71124
151c8e906a
hex12bcc50c

314361100 has 36 divisors (see below), whose sum is σ = 686542864. Its totient is φ = 124937280.

The previous prime is 314361097. The next prime is 314361107. The reversal of 314361100 is 1163413.

314361100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (314361107) 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, 5689 + ... + 25711.

Almost surely, 2314361100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314361100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343271432).

314361100 is an abundant number, since it is smaller than the sum of its proper divisors (372181764).

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

314361100 is a wasteful number, since it uses less digits than its factorization.

314361100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20194 (or 20187 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 314361100 is about 17730.2312449669. The cubic root of 314361100 is about 679.9488860080.

The spelling of 314361100 in words is "three hundred fourteen million, three hundred sixty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 628 785 1570 3140 3925 7850 15700 20023 40046 80092 100115 200230 400460 500575 1001150 2002300 3143611 6287222 12574444 15718055 31436110 62872220 78590275 157180550 314361100