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316842240 = 28351113577
BaseRepresentation
bin10010111000101…
…010000100000000
3211002012020211210
4102320222010000
51122102422430
651235010120
710565054211
oct2270520400
9732166753
10316842240
111529382a0
128a139940
1350846b20
1430119408
151cc392b0
hex12e2a100

316842240 has 288 divisors, whose sum is σ = 1190883456. Its totient is φ = 70778880.

The previous prime is 316842203. The next prime is 316842241. The reversal of 316842240 is 42248613.

316842240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 316842198 and 316842207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316842241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548832 + ... + 549408.

It is an arithmetic number, because the mean of its divisors is an integer number (4135012).

Almost surely, 2316842240 is an apocalyptic number.

316842240 is a gapful number since it is divisible by the number (30) 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 316842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595441728).

316842240 is an abundant number, since it is smaller than the sum of its proper divisors (874041216).

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

316842240 is a wasteful number, since it uses less digits than its factorization.

316842240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 316842240 is about 17800.0629212371. The cubic root of 316842240 is about 681.7330648978.

The spelling of 316842240 in words is "three hundred sixteen million, eight hundred forty-two thousand, two hundred forty".