Search a number
-
+
381641968 = 2483893229
BaseRepresentation
bin10110101111110…
…110010011110000
3222121010102100201
4112233312103300
51240200020333
6101511524544
712312621541
oct2657662360
9877112321
10381641968
11186477294
12a7989754
13610b4666
14389864c8
152378917d
hex16bf64f0

381641968 has 40 divisors (see below), whose sum is σ = 756982800. Its totient is φ = 186345984.

The previous prime is 381641963. The next prime is 381641987. The reversal of 381641968 is 869146183.

381641968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381641963) 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 7 ways as a sum of consecutive naturals, for example, 116578 + ... + 119806.

It is an arithmetic number, because the mean of its divisors is an integer number (18924570).

Almost surely, 2381641968 is an apocalyptic number.

It is an amenable number.

381641968 is a deficient number, since it is larger than the sum of its proper divisors (375340832).

381641968 is a wasteful number, since it uses less digits than its factorization.

381641968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3403 counting only the distinct ones).

The product of its digits is 248832, while the sum is 46.

The square root of 381641968 is about 19535.6588831808. The cubic root of 381641968 is about 725.3573936685.

The spelling of 381641968 in words is "three hundred eighty-one million, six hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 83 89 166 178 332 356 664 712 1328 1424 3229 6458 7387 12916 14774 25832 29548 51664 59096 118192 268007 287381 536014 574762 1072028 1149524 2144056 2299048 4288112 4598096 23852623 47705246 95410492 190820984 381641968