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311444112 = 24375317489
BaseRepresentation
bin10010100100000…
…100001010010000
3210201001000000010
4102210010022100
51114212202422
650523154520
710501142220
oct2244041220
9721030003
10311444112
1114a890631
1288375a40
134c6a6a75
142d512080
151c51eb0c
hex12904290

311444112 has 80 divisors (see below), whose sum is σ = 936904320. Its totient is φ = 87300096.

The previous prime is 311444099. The next prime is 311444113. The reversal of 311444112 is 211444113.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (311444113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9064 + ... + 26552.

It is an arithmetic number, because the mean of its divisors is an integer number (11711304).

Almost surely, 2311444112 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 311444112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468452160).

311444112 is an abundant number, since it is smaller than the sum of its proper divisors (625460208).

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

311444112 is a wasteful number, since it uses less digits than its factorization.

311444112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17560 (or 17554 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 311444112 is about 17647.7792370598. The cubic root of 311444112 is about 677.8392427840.

Adding to 311444112 its reverse (211444113), we get a palindrome (522888225).

Subtracting from 311444112 its reverse (211444113), we obtain a palindrome (99999999).

The spelling of 311444112 in words is "three hundred eleven million, four hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 636 742 848 1113 1272 1484 2226 2544 2968 4452 5936 8904 17489 17808 34978 52467 69956 104934 122423 139912 209868 244846 279824 367269 419736 489692 734538 839472 926917 979384 1469076 1853834 1958768 2780751 2938152 3707668 5561502 5876304 6488419 7415336 11123004 12976838 14830672 19465257 22246008 25953676 38930514 44492016 51907352 77861028 103814704 155722056 311444112