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314245340 = 225171019151
BaseRepresentation
bin10010101110110…
…000000011011100
3210220022022120022
4102232300003130
51120421322330
651103211312
710534020113
oct2256600334
9726268508
10314245340
111514241a2
12892a6b38
1350147ab6
142da40c7a
151c8c4ae5
hex12bb00dc

314245340 has 48 divisors (see below), whose sum is σ = 705729024. Its totient is φ = 117120000.

The previous prime is 314245339. The next prime is 314245381. The reversal of 314245340 is 43542413.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 29765 + ... + 38915.

It is an arithmetic number, because the mean of its divisors is an integer number (14702688).

Almost surely, 2314245340 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 314245340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352864512).

314245340 is an abundant number, since it is smaller than the sum of its proper divisors (391483684).

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

314245340 is a wasteful number, since it uses less digits than its factorization.

314245340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9278 (or 9276 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 314245340 is about 17726.9664635549. The cubic root of 314245340 is about 679.8654145411.

Adding to 314245340 its reverse (43542413), we get a palindrome (357787753).

The spelling of 314245340 in words is "three hundred fourteen million, two hundred forty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 101 170 202 340 404 505 1010 1717 2020 3434 6868 8585 9151 17170 18302 34340 36604 45755 91510 155567 183020 311134 622268 777835 924251 1555670 1848502 3111340 3697004 4621255 9242510 15712267 18485020 31424534 62849068 78561335 157122670 314245340