Search a number
-
+
381491880 = 2335711194153
BaseRepresentation
bin10110101111010…
…001101010101000
3222120211210110220
4112233101222220
51240130220010
6101504410040
712311425140
oct2657215250
9876753426
10381491880
11186384550
12a7916920
1361061253
1438947920
1523759970
hex16bd1aa8

381491880 has 512 divisors, whose sum is σ = 1567641600. Its totient is φ = 71884800.

The previous prime is 381491863. The next prime is 381491909. The reversal of 381491880 is 88194183.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7197934 + ... + 7197986.

It is an arithmetic number, because the mean of its divisors is an integer number (3061800).

Almost surely, 2381491880 is an apocalyptic number.

381491880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381491880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783820800).

381491880 is an abundant number, since it is smaller than the sum of its proper divisors (1186149720).

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

381491880 is a wasteful number, since it uses less digits than its factorization.

381491880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 381491880 is about 19531.8171197664. The cubic root of 381491880 is about 725.2622943135.

The spelling of 381491880 in words is "three hundred eighty-one million, four hundred ninety-one thousand, eight hundred eighty".