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3124314432 = 26325424157
BaseRepresentation
bin1011101000111001…
…0100000101000000
322001201221121200100
42322032110011000
522344311030212
61234004522400
7140265143301
oct27216240500
98051847610
103124314432
111363659748
127323b0400
133aa38c185
14218d267a8
1513444cbdc
hexba394140

3124314432 has 42 divisors (see below), whose sum is σ = 8955284858. Its totient is φ = 1041437952.

The previous prime is 3124314407. The next prime is 3124314439. The reversal of 3124314432 is 2344134213.

3124314432 is a `hidden beast` number, since 312 + 4 + 314 + 4 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1812715776 + 1311598656 = 42576^2 + 36216^2 .

It is a super-2 number, since 2×31243144322 = 19522681340006965248, which contains 22 as substring.

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 = 3124314396 and 3124314405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3124314439) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2711503 + ... + 2712654.

Almost surely, 23124314432 is an apocalyptic number.

3124314432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3124314432 is an abundant number, since it is smaller than the sum of its proper divisors (5830970426).

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

3124314432 is a wasteful number, since it uses less digits than its factorization.

3124314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5424175 (or 5424162 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3124314432 is about 55895.5671945459. The cubic root of 3124314432 is about 1461.9019485943.

Adding to 3124314432 its reverse (2344134213), we get a palindrome (5468448645).

The spelling of 3124314432 in words is "three billion, one hundred twenty-four million, three hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 5424157 10848314 16272471 21696628 32544942 43393256 48817413 65089884 86786512 97634826 130179768 173573024 195269652 260359536 347146048 390539304 520719072 781078608 1041438144 1562157216 3124314432