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38180431 = 433172801
BaseRepresentation
bin1001000110100…
…1011001001111
32122211202201001
42101221121033
534233233211
63442201131
7642346132
oct221513117
978752631
1038180431
111a608583
12109531a7
137baa593
1450dc219
153542ac1
hex246964f

38180431 has 8 divisors (see below), whose sum is σ = 39205584. Its totient is φ = 37161600.

The previous prime is 38180423. The next prime is 38180459. The reversal of 38180431 is 13408183.

38180431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 38180431 - 23 = 38180423 is a prime.

It is a super-2 number, since 2×381804312 = 2915490622691522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38180431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38180491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12231 + ... + 15031.

It is an arithmetic number, because the mean of its divisors is an integer number (4900698).

Almost surely, 238180431 is an apocalyptic number.

38180431 is a deficient number, since it is larger than the sum of its proper divisors (1025153).

38180431 is a wasteful number, since it uses less digits than its factorization.

38180431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161.

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 38180431 is about 6179.0315584240. The cubic root of 38180431 is about 336.7288099949.

The spelling of 38180431 in words is "thirty-eight million, one hundred eighty thousand, four hundred thirty-one".

Divisors: 1 43 317 2801 13631 120443 887917 38180431