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2312432424 = 233232117117
BaseRepresentation
bin1000100111010100…
…1110101100101000
312222011020201221100
42021311032230220
514213440314144
61021243241400
7111206231331
oct21165165450
95864221840
102312432424
11a87342785
12546519260
132ab108c13
1417d187288
15d802a269
hex89d4eb28

2312432424 has 24 divisors (see below), whose sum is σ = 6262838010. Its totient is φ = 770810784.

The previous prime is 2312432413. The next prime is 2312432561. The reversal of 2312432424 is 4242342132.

2312432424 is a `hidden beast` number, since 2 + 312 + 4 + 324 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2188555524 + 123876900 = 46782^2 + 11130^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16058487 + ... + 16058630.

Almost surely, 22312432424 is an apocalyptic number.

2312432424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2312432424 is an abundant number, since it is smaller than the sum of its proper divisors (3950405586).

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

2312432424 is a wasteful number, since it uses less digits than its factorization.

2312432424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32117129 (or 32117122 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 2312432424 is about 48087.7575272543. The cubic root of 2312432424 is about 1322.3802370337.

Adding to 2312432424 its reverse (4242342132), we get a palindrome (6554774556).

The spelling of 2312432424 in words is "two billion, three hundred twelve million, four hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 32117117 64234234 96351351 128468468 192702702 256936936 289054053 385405404 578108106 770810808 1156216212 2312432424