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314426440 = 23519413719
BaseRepresentation
bin10010101111011…
…100010001001000
3210220122111222201
4102233130101020
51120443121230
651111125544
710535403106
oct2257342110
9726574881
10314426440
11151538269
12893738b4
13501ac363
142da8ac76
151c90d5ca
hex12bdc448

314426440 has 32 divisors (see below), whose sum is σ = 744696000. Its totient is φ = 119150784.

The previous prime is 314426429. The next prime is 314426443. The reversal of 314426440 is 44624413.

It is a junction number, because it is equal to n+sod(n) for n = 314426399 and 314426408.

It is not an unprimeable number, because it can be changed into a prime (314426443) 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 7 ways as a sum of consecutive naturals, for example, 206100 + ... + 207619.

It is an arithmetic number, because the mean of its divisors is an integer number (23271750).

Almost surely, 2314426440 is an apocalyptic number.

It is an amenable number.

314426440 is an abundant number, since it is smaller than the sum of its proper divisors (430269560).

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

314426440 is a wasteful number, since it uses less digits than its factorization.

314426440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413749 (or 413745 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 314426440 is about 17732.0737647913. The cubic root of 314426440 is about 679.9959919026.

It can be divided in two parts, 3144 and 26440, that added together give a square (29584 = 1722).

The spelling of 314426440 in words is "three hundred fourteen million, four hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 413719 827438 1654876 2068595 3309752 4137190 7860661 8274380 15721322 16548760 31442644 39303305 62885288 78606610 157213220 314426440