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314227872 = 25327791973
BaseRepresentation
bin10010101110101…
…011110010100000
3210220021102121100
4102232223302200
51120420242442
651102554400
710533615150
oct2256536240
9726242540
10314227872
11151412062
1289298a00
135013cb6a
142da38760
151c8be84c
hex12babca0

314227872 has 144 divisors (see below), whose sum is σ = 1034691840. Its totient is φ = 88598016.

The previous prime is 314227841. The next prime is 314227883. The reversal of 314227872 is 278722413.

314227872 is a `hidden beast` number, since 314 + 2 + 278 + 72 = 666.

314227872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158278 + ... + 160250.

It is an arithmetic number, because the mean of its divisors is an integer number (7185360).

Almost surely, 2314227872 is an apocalyptic number.

314227872 is a gapful number since it is divisible by the number (32) 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 314227872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517345920).

314227872 is an abundant number, since it is smaller than the sum of its proper divisors (720463968).

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

314227872 is a wasteful number, since it uses less digits than its factorization.

314227872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2064 counting only the distinct ones).

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

The square root of 314227872 is about 17726.4737610163. The cubic root of 314227872 is about 679.8528170495.

The spelling of 314227872 in words is "three hundred fourteen million, two hundred twenty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 79 84 96 112 126 144 158 168 224 237 252 288 316 336 474 504 553 632 672 711 948 1008 1106 1264 1422 1659 1896 1973 2016 2212 2528 2844 3318 3792 3946 4424 4977 5688 5919 6636 7584 7892 8848 9954 11376 11838 13272 13811 15784 17696 17757 19908 22752 23676 26544 27622 31568 35514 39816 41433 47352 53088 55244 63136 71028 79632 82866 94704 110488 124299 142056 155867 159264 165732 189408 220976 248598 284112 311734 331464 441952 467601 497196 568224 623468 662928 935202 994392 1091069 1246936 1325856 1402803 1870404 1988784 2182138 2493872 2805606 3273207 3740808 3977568 4364276 4987744 5611212 6546414 7481616 8728552 9819621 11222424 13092828 14963232 17457104 19639242 22444848 26185656 34914208 39278484 44889696 52371312 78556968 104742624 157113936 314227872