Search a number
-
+
314821872 = 24322299547
BaseRepresentation
bin10010110000111…
…100110011110000
3210221101121102100
4102300330303300
51121043244442
651123420400
710541641011
oct2260746360
9727347370
10314821872
11151788372
1289524700
13502ba341
142db51008
151c98a84c
hex12c3ccf0

314821872 has 60 divisors (see below), whose sum is σ = 885004120. Its totient is φ = 104471424.

The previous prime is 314821867. The next prime is 314821889. The reversal of 314821872 is 278128413.

It is a super-2 number, since 2×3148218722 = 198225622179168768, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28203 + ... + 37749.

Almost surely, 2314821872 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 314821872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442502060).

314821872 is an abundant number, since it is smaller than the sum of its proper divisors (570182248).

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

314821872 is a wasteful number, since it uses less digits than its factorization.

314821872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9790 (or 9781 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 314821872 is about 17743.2204517669. The cubic root of 314821872 is about 680.2809335161.

The spelling of 314821872 in words is "three hundred fourteen million, eight hundred twenty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 229 458 687 916 1374 1832 2061 2748 3664 4122 5496 8244 9547 10992 16488 19094 28641 32976 38188 57282 76376 85923 114564 152752 171846 229128 343692 458256 687384 1374768 2186263 4372526 6558789 8745052 13117578 17490104 19676367 26235156 34980208 39352734 52470312 78705468 104940624 157410936 314821872