Search a number
-
+
381044768 = 2513915973
BaseRepresentation
bin10110101101100…
…100100000100000
3222120000002011012
4112231210200200
51240021413033
6101451040052
712304553456
oct2655444040
9876002135
10381044768
111860a9635
12a7740028
1360c358a0
143886c9d6
15236bc248
hex16b64820

381044768 has 24 divisors (see below), whose sum is σ = 807889068. Its totient is φ = 175866624.

The previous prime is 381044767. The next prime is 381044771. The reversal of 381044768 is 867440183.

It can be written as a sum of positive squares in 2 ways, for example, as 379938064 + 1106704 = 19492^2 + 1052^2 .

It is not an unprimeable number, because it can be changed into a prime (381044761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 457571 + ... + 458402.

Almost surely, 2381044768 is an apocalyptic number.

It is an amenable number.

381044768 is an abundant number, since it is smaller than the sum of its proper divisors (426844300).

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

381044768 is a wasteful number, since it uses less digits than its factorization.

381044768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915996 (or 915988 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 381044768 is about 19520.3680293175. The cubic root of 381044768 is about 724.9788455183.

The spelling of 381044768 in words is "three hundred eighty-one million, forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 915973 1831946 3663892 7327784 11907649 14655568 23815298 29311136 47630596 95261192 190522384 381044768