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2311331424 = 253178915913
BaseRepresentation
bin1000100111000100…
…0001111001100000
312222002011210122120
42021301001321200
514213200101144
61021203504240
7111163664403
oct21161017140
95862153576
102311331424
11a86760566
12546088080
132aab11a3c
1417cd7bd3a
15d7dade19
hex89c41e60

2311331424 has 96 divisors (see below), whose sum is σ = 6496731360. Its totient is φ = 716931072.

The previous prime is 2311331401. The next prime is 2311331443. The reversal of 2311331424 is 4241331132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 2311331394 and 2311331403.

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, 137292 + ... + 153204.

It is an arithmetic number, because the mean of its divisors is an integer number (67674285).

Almost surely, 22311331424 is an apocalyptic number.

2311331424 is a gapful number since it is divisible by the number (24) 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 2311331424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248365680).

2311331424 is an abundant number, since it is smaller than the sum of its proper divisors (4185399936).

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

2311331424 is a wasteful number, since it uses less digits than its factorization.

2311331424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16032 (or 16024 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 2311331424 is about 48076.3083441314. The cubic root of 2311331424 is about 1322.1703322662.

Adding to 2311331424 its reverse (4241331132), we get a palindrome (6552662556).

The spelling of 2311331424 in words is "two billion, three hundred eleven million, three hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 89 96 102 136 178 204 267 272 356 408 534 544 712 816 1068 1424 1513 1632 2136 2848 3026 4272 4539 6052 8544 9078 12104 15913 18156 24208 31826 36312 47739 48416 63652 72624 95478 127304 145248 190956 254608 270521 381912 509216 541042 763824 811563 1082084 1416257 1527648 1623126 2164168 2832514 3246252 4248771 4328336 5665028 6492504 8497542 8656672 11330056 12985008 16995084 22660112 24076369 25970016 33990168 45320224 48152738 67980336 72229107 96305476 135960672 144458214 192610952 288916428 385221904 577832856 770443808 1155665712 2311331424