Search a number
-
+
311068836 = 22341331923
BaseRepresentation
bin10010100010101…
…000100010100100
3210200022221020000
4102202220202210
51114113200321
650511141300
710465020141
oct2242504244
9720287200
10311068836
1114a654691
1288214830
134c5a5000
142d4553c8
151c498826
hex128a88a4

311068836 has 240 divisors, whose sum is σ = 967612800. Its totient is φ = 86733504.

The previous prime is 311068783. The next prime is 311068843. The reversal of 311068836 is 638860113.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 311068836.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13524721 + ... + 13524743.

It is an arithmetic number, because the mean of its divisors is an integer number (4031720).

Almost surely, 2311068836 is an apocalyptic number.

311068836 is a gapful number since it is divisible by the number (36) 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 311068836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483806400).

311068836 is an abundant number, since it is smaller than the sum of its proper divisors (656543964).

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

311068836 is a wasteful number, since it uses less digits than its factorization.

311068836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 311068836 is about 17637.1436462938. The cubic root of 311068836 is about 677.5668781990.

The spelling of 311068836 in words is "three hundred eleven million, sixty-eight thousand, eight hundred thirty-six".