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311144344 = 23753791327
BaseRepresentation
bin10010100010111…
…010111110011000
3210200110202210121
4102202322332120
51114123104334
650512523024
710465453240
oct2242727630
9720422717
10311144344
1114a6a6395
1288250474
134c6004a4
142d474b20
151c4b0db4
hex128baf98

311144344 has 64 divisors (see below), whose sum is σ = 688435200. Its totient is φ = 129078144.

The previous prime is 311144297. The next prime is 311144363. The reversal of 311144344 is 443441113.

311144344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233809 + ... + 235135.

It is an arithmetic number, because the mean of its divisors is an integer number (10756800).

Almost surely, 2311144344 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 311144344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344217600).

311144344 is an abundant number, since it is smaller than the sum of its proper divisors (377290856).

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

311144344 is a wasteful number, since it uses less digits than its factorization.

311144344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1468 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 311144344 is about 17639.2841124576. The cubic root of 311144344 is about 677.6216973417.

Adding to 311144344 its reverse (443441113), we get a palindrome (754585457).

The spelling of 311144344 in words is "three hundred eleven million, one hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 53 56 79 106 158 212 316 371 424 553 632 742 1106 1327 1484 2212 2654 2968 4187 4424 5308 8374 9289 10616 16748 18578 29309 33496 37156 58618 70331 74312 104833 117236 140662 209666 234472 281324 419332 492317 562648 733831 838664 984634 1467662 1969268 2935324 3938536 5556149 5870648 11112298 22224596 38893043 44449192 77786086 155572172 311144344