Search a number
-
+
381759696 = 2433883703
BaseRepresentation
bin10110110000010…
…011000011010000
3222121100101212000
4112300103003100
51240212302241
6101514234000
712313622013
oct2660230320
9877311760
10381759696
1118654778a
12a7a25900
1361126116
14389b737a
15237adeb6
hex16c130d0

381759696 has 40 divisors (see below), whose sum is σ = 1095792960. Its totient is φ = 127253088.

The previous prime is 381759661. The next prime is 381759713. The reversal of 381759696 is 696957183.

381759696 is a `hidden beast` number, since 38 + 17 + 596 + 9 + 6 = 666.

381759696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 441420 + ... + 442283.

It is an arithmetic number, because the mean of its divisors is an integer number (27394824).

Almost surely, 2381759696 is an apocalyptic number.

381759696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

381759696 is an abundant number, since it is smaller than the sum of its proper divisors (714033264).

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

381759696 is a wasteful number, since it uses less digits than its factorization.

381759696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883720 (or 883708 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 381759696 is about 19538.6718074694. The cubic root of 381759696 is about 725.4319715042.

The spelling of 381759696 in words is "three hundred eighty-one million, seven hundred fifty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 883703 1767406 2651109 3534812 5302218 7069624 7953327 10604436 14139248 15906654 21208872 23859981 31813308 42417744 47719962 63626616 95439924 127253232 190879848 381759696