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413372031 = 32326922271
BaseRepresentation
bin11000101000111…
…000111001111111
31001210211110211020
4120220320321333
51321310401111
6105003555223
713146414162
oct3050707177
91053743736
10413372031
111a2379586
12b652bb13
1367843c47
143cc85ad9
1526455906
hex18a38e7f

413372031 has 16 divisors (see below), whose sum is σ = 577290240. Its totient is φ = 262607840.

The previous prime is 413372023. The next prime is 413372033. The reversal of 413372031 is 130273314.

It is a cyclic number.

It is not a de Polignac number, because 413372031 - 23 = 413372023 is a prime.

It is a super-2 number, since 2×4133720312 = 341752872026129922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413371992 and 413372010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413372033) 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 15 ways as a sum of consecutive naturals, for example, 7426 + ... + 29696.

It is an arithmetic number, because the mean of its divisors is an integer number (36080640).

Almost surely, 2413372031 is an apocalyptic number.

413372031 is a deficient number, since it is larger than the sum of its proper divisors (163918209).

413372031 is a wasteful number, since it uses less digits than its factorization.

413372031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22566.

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 413372031 is about 20331.5525968874. The cubic root of 413372031 is about 744.9269667007.

The spelling of 413372031 in words is "four hundred thirteen million, three hundred seventy-two thousand, thirty-one".

Divisors: 1 3 23 69 269 807 6187 18561 22271 66813 512233 1536699 5990899 17972697 137790677 413372031