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402108349 is a prime number
BaseRepresentation
bin10111111101111…
…010111110111101
31001000122012221211
4113331322332331
51310414431344
6103522324421
712651602356
oct2775727675
91030565854
10402108349
11196a85a55
12b27b9711
13653cc146
143b592d2d
152547d334
hex17f7afbd

402108349 has 2 divisors, whose sum is σ = 402108350. Its totient is φ = 402108348.

The previous prime is 402108331. The next prime is 402108367. The reversal of 402108349 is 943801204.

It is a balanced prime because it is at equal distance from previous prime (402108331) and next prime (402108367).

It can be written as a sum of positive squares in only one way, i.e., 400400100 + 1708249 = 20010^2 + 1307^2 .

It is a cyclic number.

It is not a de Polignac number, because 402108349 - 27 = 402108221 is a prime.

It is a super-2 number, since 2×4021083492 = 323382248671011602, which contains 22 as substring.

It is equal to p21442639 and since 402108349 and 21442639 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 402108349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (402108649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 201054174 + 201054175.

It is an arithmetic number, because the mean of its divisors is an integer number (201054175).

Almost surely, 2402108349 is an apocalyptic number.

It is an amenable number.

402108349 is a deficient number, since it is larger than the sum of its proper divisors (1).

402108349 is an equidigital number, since it uses as much as digits as its factorization.

402108349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 402108349 is about 20052.6394522018. The cubic root of 402108349 is about 738.0985692722.

The spelling of 402108349 in words is "four hundred two million, one hundred eight thousand, three hundred forty-nine".