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316180096 = 2737101661
BaseRepresentation
bin10010110110001…
…000011010000000
3211000221121112221
4102312020122000
51121420230341
651212500424
710556325601
oct2266103200
9730847487
10316180096
11152525871
1289a7a714
135067461b
142ddc5da8
151cb57ed1
hex12d88680

316180096 has 64 divisors (see below), whose sum is σ = 654307560. Its totient is φ = 152064000.

The previous prime is 316180091. The next prime is 316180147. The reversal of 316180096 is 690081613.

It can be written as a sum of positive squares in 4 ways, for example, as 291180096 + 25000000 = 17064^2 + 5000^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (316180091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 478006 + ... + 478666.

Almost surely, 2316180096 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 316180096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327153780).

316180096 is an abundant number, since it is smaller than the sum of its proper divisors (338127464).

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

316180096 is a wasteful number, since it uses less digits than its factorization.

316180096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 316180096 is about 17781.4537088507. The cubic root of 316180096 is about 681.2578333583.

The spelling of 316180096 in words is "three hundred sixteen million, one hundred eighty thousand, ninety-six".

Divisors: 1 2 4 8 16 32 37 64 74 101 128 148 202 296 404 592 661 808 1184 1322 1616 2368 2644 3232 3737 4736 5288 6464 7474 10576 12928 14948 21152 24457 29896 42304 48914 59792 66761 84608 97828 119584 133522 195656 239168 267044 391312 478336 534088 782624 1068176 1565248 2136352 2470157 3130496 4272704 4940314 8545408 9880628 19761256 39522512 79045024 158090048 316180096