Search a number
-
+
318155040 = 2535572167
BaseRepresentation
bin10010111101101…
…010100100100000
3211011122221200000
4102331222210200
51122421430130
651323100000
710612162500
oct2275524440
9734587600
10318155040
11153654655
128a671600
1350bb6528
143037ba00
151cde8260
hex12f6a920

318155040 has 432 divisors, whose sum is σ = 1317580992. Its totient is φ = 72285696.

The previous prime is 318155029. The next prime is 318155083. The reversal of 318155040 is 40551813.

318155040 is a `hidden beast` number, since 31 + 81 + 550 + 4 + 0 = 666.

318155040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 318154995 and 318155013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1905037 + ... + 1905203.

It is an arithmetic number, because the mean of its divisors is an integer number (3049956).

Almost surely, 2318155040 is an apocalyptic number.

318155040 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 318155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658790496).

318155040 is an abundant number, since it is smaller than the sum of its proper divisors (999425952).

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

318155040 is a wasteful number, since it uses less digits than its factorization.

318155040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 318155040 is about 17836.9010761399. The cubic root of 318155040 is about 682.6733287585.

The spelling of 318155040 in words is "three hundred eighteen million, one hundred fifty-five thousand, forty".