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314835930 = 23354092851
BaseRepresentation
bin10010110001000…
…000001111011010
3210221102022201000
4102301000033122
51121044222210
651124005430
710542030003
oct2261001732
9727368630
10314835930
11151797992
1289530876
13502c3866
142db561aa
151c98eac0
hex12c403da

314835930 has 64 divisors (see below), whose sum is σ = 841910400. Its totient is φ = 83721600.

The previous prime is 314835929. The next prime is 314835931. The reversal of 314835930 is 39538413.

It is an interprime number because it is at equal distance from previous prime (314835929) and next prime (314835931).

It is not an unprimeable number, because it can be changed into a prime (314835931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109005 + ... + 111855.

It is an arithmetic number, because the mean of its divisors is an integer number (13154850).

Almost surely, 2314835930 is an apocalyptic number.

314835930 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 314835930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420955200).

314835930 is an abundant number, since it is smaller than the sum of its proper divisors (527074470).

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

314835930 is a wasteful number, since it uses less digits than its factorization.

314835930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 314835930 is about 17743.6165986532. The cubic root of 314835930 is about 680.2910590801.

The spelling of 314835930 in words is "three hundred fourteen million, eight hundred thirty-five thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 409 818 1227 2045 2454 2851 3681 4090 5702 6135 7362 8553 11043 12270 14255 17106 18405 22086 25659 28510 36810 42765 51318 55215 76977 85530 110430 128295 153954 256590 384885 769770 1166059 2332118 3498177 5830295 6996354 10494531 11660590 17490885 20989062 31483593 34981770 52472655 62967186 104945310 157417965 314835930