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311340978 = 232132635059
BaseRepresentation
bin10010100011101…
…010111110110010
3210200211202112100
4102203222332302
51114200402403
650521041230
710500232434
oct2243527662
9720752470
10311340978
1114a8200a3
1288326216
134c66bb40
142d4c6654
151c4ee2a3
hex128eafb2

311340978 has 48 divisors (see below), whose sum is σ = 729368640. Its totient is φ = 95414112.

The previous prime is 311340971. The next prime is 311340983. The reversal of 311340978 is 879043113.

It is a happy number.

311340978 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (311340971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59013 + ... + 64071.

It is an arithmetic number, because the mean of its divisors is an integer number (15195180).

Almost surely, 2311340978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311340978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364684320).

311340978 is an abundant number, since it is smaller than the sum of its proper divisors (418027662).

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

311340978 is a wasteful number, since it uses less digits than its factorization.

311340978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5343 (or 5340 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 311340978 is about 17644.8569844020. The cubic root of 311340978 is about 677.7644128890.

The spelling of 311340978 in words is "three hundred eleven million, three hundred forty thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 263 526 789 1578 2367 3419 4734 5059 6838 10118 10257 15177 20514 30354 30771 45531 61542 65767 91062 131534 197301 394602 591903 1183806 1330517 2661034 3991551 7983102 11974653 17296721 23949306 34593442 51890163 103780326 155670489 311340978