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311397304320 = 21132529374767
BaseRepresentation
bin1001000100000001011…
…10011100100000000000
31002202202210222002001100
410202000232130200000
520100220202214240
6355015352534400
731332500261664
oct4420056344000
91082683862040
10311397304320
11110076729773
12504263b1400
132349816286b
1411100ab48a4
15817807ce30
hex4880b9c800

311397304320 has 1152 divisors, whose sum is σ = 1188511833600. Its totient is φ = 75209637888.

The previous prime is 311397304289. The next prime is 311397304321. The reversal of 311397304320 is 23403793113.

It is a happy number.

311397304320 is a `hidden beast` number, since 311 + 3 + 9 + 7 + 304 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×3113973043202 (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (311397304321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4647720927 + ... + 4647720993.

It is an arithmetic number, because the mean of its divisors is an integer number (1031694300).

Almost surely, 2311397304320 is an apocalyptic number.

311397304320 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 311397304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594255916800).

311397304320 is an abundant number, since it is smaller than the sum of its proper divisors (877114529280).

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

311397304320 is a wasteful number, since it uses less digits than its factorization.

311397304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 311397304320 in words is "three hundred eleven billion, three hundred ninety-seven million, three hundred four thousand, three hundred twenty".