Search a number
-
+
381365676 = 2232100910499
BaseRepresentation
bin10110101110110…
…010110110101100
3222120121101100200
4112232302312230
51240112200201
6101501553500
712310361166
oct2656626654
9876541320
10381365676
111862a874a
12a7875890
1361018983
1438913936
1523732386
hex16bb2dac

381365676 has 36 divisors (see below), whose sum is σ = 965055000. Its totient is φ = 126983808.

The previous prime is 381365671. The next prime is 381365683. The reversal of 381365676 is 676563183.

381365676 is a `hidden beast` number, since 3 + 81 + 3 + 6 + 567 + 6 = 666.

381365676 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

381365676 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (381365671) 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 11 ways as a sum of consecutive naturals, for example, 31075 + ... + 41573.

Almost surely, 2381365676 is an apocalyptic number.

381365676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

381365676 is an abundant number, since it is smaller than the sum of its proper divisors (583689324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

381365676 is a wasteful number, since it uses less digits than its factorization.

381365676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11518 (or 11513 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 381365676 is about 19528.5861239364. The cubic root of 381365676 is about 725.1823091268.

The spelling of 381365676 in words is "three hundred eighty-one million, three hundred sixty-five thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 1009 2018 3027 4036 6054 9081 10499 12108 18162 20998 31497 36324 41996 62994 94491 125988 188982 377964 10593491 21186982 31780473 42373964 63560946 95341419 127121892 190682838 381365676