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314301132 = 223257715131
BaseRepresentation
bin10010101110111…
…101101011001100
3210220102011002200
4102232331223030
51120430114012
651104321500
710534341555
oct2256755314
9726364080
10314301132
11151462102
1289313290
1350167302
142da5732c
151c8d63dc
hex12bbdacc

314301132 has 36 divisors (see below), whose sum is σ = 795912936. Its totient is φ = 104578560.

The previous prime is 314301131. The next prime is 314301133. The reversal of 314301132 is 231103413.

It is an interprime number because it is at equal distance from previous prime (314301131) and next prime (314301133).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (314301131) 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 11 ways as a sum of consecutive naturals, for example, 13207 + ... + 28337.

Almost surely, 2314301132 is an apocalyptic number.

It is an amenable number.

314301132 is an abundant number, since it is smaller than the sum of its proper divisors (481611804).

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

314301132 is a wasteful number, since it uses less digits than its factorization.

314301132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15718 (or 15713 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 314301132 is about 17728.5400414134. The cubic root of 314301132 is about 679.9056472317.

Adding to 314301132 its reverse (231103413), we get a palindrome (545404545).

The spelling of 314301132 in words is "three hundred fourteen million, three hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 577 1154 1731 2308 3462 5193 6924 10386 15131 20772 30262 45393 60524 90786 136179 181572 272358 544716 8730587 17461174 26191761 34922348 52383522 78575283 104767044 157150566 314301132