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316410400 = 2552395513
BaseRepresentation
bin10010110111000…
…000101000100000
3211001101022110201
4102313000220200
51122000113100
651221434544
710561305205
oct2267005040
9731338421
10316410400
111526728a9
1289b6ba54
13507253b7
1430045cac
151cba136a
hex12dc0a20

316410400 has 36 divisors (see below), whose sum is σ = 772438842. Its totient is φ = 126563840.

The previous prime is 316410377. The next prime is 316410403. The reversal of 316410400 is 4014613.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 208167184 + 108243216 = 14428^2 + 10404^2 .

It is not an unprimeable number, because it can be changed into a prime (316410403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 196957 + ... + 198556.

Almost surely, 2316410400 is an apocalyptic number.

It is an amenable number.

316410400 is an abundant number, since it is smaller than the sum of its proper divisors (456028442).

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

316410400 is a wasteful number, since it uses less digits than its factorization.

316410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395533 (or 395520 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 316410400 is about 17787.9284909739. The cubic root of 316410400 is about 681.4232014795.

The spelling of 316410400 in words is "three hundred sixteen million, four hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 395513 791026 1582052 1977565 3164104 3955130 6328208 7910260 9887825 12656416 15820520 19775650 31641040 39551300 63282080 79102600 158205200 316410400