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316475040 = 25357131719
BaseRepresentation
bin10010110111010…
…000011010100000
3211001111121010210
4102313100122200
51122004200130
651223054120
710561664520
oct2267203240
9731447123
10316475040
11152707422
1289ba1340
135074894b
1430061680
151cbb55b0
hex12dd06a0

316475040 has 192 divisors, whose sum is σ = 1149603840. Its totient is φ = 71685120.

The previous prime is 316475021. The next prime is 316475041. The reversal of 316475040 is 40574613.

It is a super-3 number, since 3×3164750403 (a number of 26 digits) contains 333 as substring.

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 = 316474989 and 316475007.

It is not an unprimeable number, because it can be changed into a prime (316475041) 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, 439801 + ... + 440519.

It is an arithmetic number, because the mean of its divisors is an integer number (5987520).

Almost surely, 2316475040 is an apocalyptic number.

316475040 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 316475040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574801920).

316475040 is an abundant number, since it is smaller than the sum of its proper divisors (833128800).

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

316475040 is a wasteful number, since it uses less digits than its factorization.

316475040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 316475040 is about 17789.7453607408. The cubic root of 316475040 is about 681.4696013414.

The spelling of 316475040 in words is "three hundred sixteen million, four hundred seventy-five thousand, forty".