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32400000031 = 77417624049
BaseRepresentation
bin11110001011001100…
…001100010000011111
310002122000022112111011
4132023030030100133
51012323400000111
622515004240051
72224621312330
oct361314142037
9102560275434
1032400000031
1112816a56633
126342840027
133094680a69
1417d50a8287
15c996a0021
hex78b30c41f

32400000031 has 8 divisors (see below), whose sum is σ = 37033623200. Its totient is φ = 27767639808.

The previous prime is 32399999981. The next prime is 32400000089. The reversal of 32400000031 is 13000000423.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 32400000031 - 27 = 32399999903 is a prime.

It is a super-2 number, since 2×324000000312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32399999957 and 32400000020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32400000091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260106 + ... + 363943.

It is an arithmetic number, because the mean of its divisors is an integer number (4629202900).

Almost surely, 232400000031 is an apocalyptic number.

32400000031 is a deficient number, since it is larger than the sum of its proper divisors (4633623169).

32400000031 is an equidigital number, since it uses as much as digits as its factorization.

32400000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631473.

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 32400000031 its reverse (13000000423), we get a palindrome (45400000454).

The spelling of 32400000031 in words is "thirty-two billion, four hundred million, thirty-one", and thus it is an aban number.

Divisors: 1 7 7417 51919 624049 4368343 4628571433 32400000031