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311312304 = 24323136907
BaseRepresentation
bin10010100011100…
…011111110110000
3210200210022012100
4102203203332300
51114143443204
650520300400
710500053022
oct2243437660
9720708170
10311312304
1114a8005a6
1288311700
134c65ba84
142d4ba012
151c4e5a39
hex128e3fb0

311312304 has 60 divisors (see below), whose sum is σ = 874152136. Its totient is φ = 103424256.

The previous prime is 311312297. The next prime is 311312329. The reversal of 311312304 is 403213113.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41619 + ... + 48525.

Almost surely, 2311312304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311312304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437076068).

311312304 is an abundant number, since it is smaller than the sum of its proper divisors (562839832).

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

311312304 is a wasteful number, since it uses less digits than its factorization.

311312304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7234 (or 7225 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 311312304 is about 17644.0444343127. The cubic root of 311312304 is about 677.7436052485.

Adding to 311312304 its reverse (403213113), we get a palindrome (714525417).

The spelling of 311312304 in words is "three hundred eleven million, three hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 313 626 939 1252 1878 2504 2817 3756 5008 5634 6907 7512 11268 13814 15024 20721 22536 27628 41442 45072 55256 62163 82884 110512 124326 165768 248652 331536 497304 994608 2161891 4323782 6485673 8647564 12971346 17295128 19457019 25942692 34590256 38914038 51885384 77828076 103770768 155656152 311312304