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380631168 = 2732330409
BaseRepresentation
bin10110101011111…
…111100010000000
3222112020001210200
4112223333202000
51234420144133
6101434125200
712301211601
oct2653774200
9875201720
10380631168
11185946915
12a7580800
1360b1c558
14387a1da8
1523639913
hex16aff880

380631168 has 48 divisors (see below), whose sum is σ = 1095309150. Its totient is φ = 126876672.

The previous prime is 380631157. The next prime is 380631169. The reversal of 380631168 is 861136083.

380631168 is a `hidden beast` number, since 3 + 8 + 0 + 631 + 16 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 312865344 + 67765824 = 17688^2 + 8232^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (380631169) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 164053 + ... + 166356.

Almost surely, 2380631168 is an apocalyptic number.

It is an amenable number.

380631168 is an abundant number, since it is smaller than the sum of its proper divisors (714677982).

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

380631168 is a wasteful number, since it uses less digits than its factorization.

380631168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330429 (or 330414 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 380631168 is about 19509.7710904049. The cubic root of 380631168 is about 724.7164443247.

The spelling of 380631168 in words is "three hundred eighty million, six hundred thirty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 330409 660818 991227 1321636 1982454 2643272 2973681 3964908 5286544 5947362 7929816 10573088 11894724 15859632 21146176 23789448 31719264 42292352 47578896 63438528 95157792 126877056 190315584 380631168