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314247870 = 23354327067
BaseRepresentation
bin10010101110110…
…000101010111110
3210220022110001000
4102232300222332
51120421412440
651103231130
710534030356
oct2256605276
9726273030
10314247870
11151426092
12892a84a6
1350148cb1
142da41b66
151c8c5730
hex12bb0abe

314247870 has 64 divisors (see below), whose sum is σ = 857514240. Its totient is φ = 81847584.

The previous prime is 314247851. The next prime is 314247929. The reversal of 314247870 is 78742413.

It is a happy number.

It is a super-3 number, since 3×3142478703 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1924 + ... + 25143.

It is an arithmetic number, because the mean of its divisors is an integer number (13398660).

Almost surely, 2314247870 is an apocalyptic number.

314247870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314247870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428757120).

314247870 is an abundant number, since it is smaller than the sum of its proper divisors (543266370).

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

314247870 is a wasteful number, since it uses less digits than its factorization.

314247870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27126 (or 27120 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 314247870 is about 17727.0378236185. The cubic root of 314247870 is about 679.8672390761.

The spelling of 314247870 in words is "three hundred fourteen million, two hundred forty-seven thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 645 774 1161 1290 1935 2322 3870 5805 11610 27067 54134 81201 135335 162402 243603 270670 406005 487206 730809 812010 1163881 1218015 1461618 2327762 2436030 3491643 3654045 5819405 6983286 7308090 10474929 11638810 17458215 20949858 31424787 34916430 52374645 62849574 104749290 157123935 314247870