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314234120 = 23517462109
BaseRepresentation
bin10010101110101…
…101010100001000
3210220021202011202
4102232231110020
51120420442440
651103043332
710533642314
oct2256552410
9726252152
10314234120
11151416822
12892a0548
1350142965
142da3ab44
151c8c1615
hex12bad508

314234120 has 32 divisors (see below), whose sum is σ = 748618200. Its totient is φ = 118299648.

The previous prime is 314234117. The next prime is 314234149. The reversal of 314234120 is 21432413.

It can be written as a sum of positive squares in 4 ways, for example, as 238578916 + 75655204 = 15446^2 + 8698^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 314234092 and 314234101.

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, 230375 + ... + 231734.

Almost surely, 2314234120 is an apocalyptic number.

It is an amenable number.

314234120 is an abundant number, since it is smaller than the sum of its proper divisors (434384080).

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

314234120 is a wasteful number, since it uses less digits than its factorization.

314234120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462137 (or 462133 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 314234120 is about 17726.6499937241. The cubic root of 314234120 is about 679.8573230069.

Adding to 314234120 its reverse (21432413), we get a palindrome (335666533).

The spelling of 314234120 in words is "three hundred fourteen million, two hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 462109 924218 1848436 2310545 3696872 4621090 7855853 9242180 15711706 18484360 31423412 39279265 62846824 78558530 157117060 314234120