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381366957 = 3434576469
BaseRepresentation
bin10110101110110…
…011001010101101
3222120121110010010
4112232303022231
51240112220312
6101502003433
712310365006
oct2656631255
9876543103
10381366957
111862a9704
12a7876579
136101942a
14389141ad
152373293c
hex16bb32ad

381366957 has 16 divisors (see below), whose sum is σ = 521533760. Its totient is φ = 247750272.

The previous prime is 381366943. The next prime is 381366971. The reversal of 381366957 is 759663183.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (381366943) and next prime (381366971).

It is not a de Polignac number, because 381366957 - 24 = 381366941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381367957) 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, 55719 + ... + 62187.

It is an arithmetic number, because the mean of its divisors is an integer number (32595860).

Almost surely, 2381366957 is an apocalyptic number.

It is an amenable number.

381366957 is a deficient number, since it is larger than the sum of its proper divisors (140166803).

381366957 is a wasteful number, since it uses less digits than its factorization.

381366957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6972.

The product of its digits is 816480, while the sum is 48.

The square root of 381366957 is about 19528.6189219822. The cubic root of 381366957 is about 725.1831210837.

The spelling of 381366957 in words is "three hundred eighty-one million, three hundred sixty-six thousand, nine hundred fifty-seven".

Divisors: 1 3 43 129 457 1371 6469 19407 19651 58953 278167 834501 2956333 8868999 127122319 381366957