Search a number
-
+
314992320 = 26351719301
BaseRepresentation
bin10010110001100…
…110011011000000
3210221201021020020
4102301212123000
51121114223240
651131213440
710543250646
oct2261463300
9727637206
10314992320
11151894435
12895a7280
1350349ab6
142db97196
151c9c10d0
hex12c666c0

314992320 has 112 divisors (see below), whose sum is σ = 1058984928. Its totient is φ = 79052800.

The previous prime is 314992319. The next prime is 314992339. The reversal of 314992320 is 23299413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6670 + ... + 25970.

Almost surely, 2314992320 is an apocalyptic number.

314992320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314992320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529492464).

314992320 is an abundant number, since it is smaller than the sum of its proper divisors (743992608).

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

314992320 is a wasteful number, since it uses less digits than its factorization.

314992320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19338 (or 19328 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 314992320 is about 17748.0229884909. The cubic root of 314992320 is about 680.4036818755.

The spelling of 314992320 in words is "three hundred fourteen million, nine hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 4080 5440 8160 16320 19301 38602 57903 77204 96505 115806 154408 193010 231612 289515 308816 328117 386020 463224 579030 617632 656234 772040 926448 984351 1158060 1235264 1312468 1544080 1640585 1852896 1968702 2316120 2624936 3088160 3281170 3705792 3937404 4632240 4921755 5249872 6176320 6562340 7874808 9264480 9843510 10499744 13124680 15749616 18528960 19687020 20999488 26249360 31499232 39374040 52498720 62998464 78748080 104997440 157496160 314992320