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314016840 = 23325872269
BaseRepresentation
bin10010101101111…
…000010001001000
3210212212201010100
4102231320101020
51120342014330
651054245400
710532045664
oct2255702110
9725781110
10314016840
11151288555
12891b6860
1350097aa7
142d9c18a4
151c87c060
hex12b78448

314016840 has 48 divisors (see below), whose sum is σ = 1020555900. Its totient is φ = 83737728.

The previous prime is 314016803. The next prime is 314016841. The reversal of 314016840 is 48610413.

314016840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 310534884 + 3481956 = 17622^2 + 1866^2 .

It is not an unprimeable number, because it can be changed into a prime (314016841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 435775 + ... + 436494.

Almost surely, 2314016840 is an apocalyptic number.

314016840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314016840 is an abundant number, since it is smaller than the sum of its proper divisors (706539060).

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

314016840 is a wasteful number, since it uses less digits than its factorization.

314016840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872286 (or 872279 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 314016840 is about 17720.5203083882. The cubic root of 314016840 is about 679.7005890622.

The spelling of 314016840 in words is "three hundred fourteen million, sixteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 872269 1744538 2616807 3489076 4361345 5233614 6978152 7850421 8722690 10467228 13084035 15700842 17445380 20934456 26168070 31401684 34890760 39252105 52336140 62803368 78504210 104672280 157008420 314016840