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2431312 = 241311689
BaseRepresentation
bin1001010001100101010000
311120112010121
421101211100
51110300222
6124040024
726444242
oct11214520
94515117
102431312
111410754
12993014
13671860
14474092
153305c7
hex251950

2431312 has 20 divisors (see below), whose sum is σ = 5073460. Its totient is φ = 1122048.

The previous prime is 2431301. The next prime is 2431321. The reversal of 2431312 is 2131342.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1577536 + 853776 = 1256^2 + 924^2 .

It is a super-2 number, since 2×24313122 = 11822556082688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5637 + ... + 6052.

It is an arithmetic number, because the mean of its divisors is an integer number (253673).

22431312 is an apocalyptic number.

It is an amenable number.

2431312 is an abundant number, since it is smaller than the sum of its proper divisors (2642148).

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

2431312 is a wasteful number, since it uses less digits than its factorization.

2431312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11710 (or 11704 counting only the distinct ones).

The product of its digits is 144, while the sum is 16.

The square root of 2431312 is about 1559.2664942209. The cubic root of 2431312 is about 134.4663339407.

Adding to 2431312 its reverse (2131342), we get a palindrome (4562654).

The spelling of 2431312 in words is "two million, four hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 208 11689 23378 46756 93512 151957 187024 303914 607828 1215656 2431312