Search a number
-
+
388730880 = 2123351937
BaseRepresentation
bin10111001010111…
…001000000000000
31000002110120112000
4113022321000000
51244003342010
6102323504000
712430105116
oct2712710000
91002416460
10388730880
1118a47929a
12aa228000
13626c7195
14398adab6
15241d97c0
hex172b9000

388730880 has 416 divisors, whose sum is σ = 1494038400. Its totient is φ = 95551488.

The previous prime is 388730863. The next prime is 388730929. The reversal of 388730880 is 88037883.

It is a super-2 number, since 2×3887308802 = 302223394131148800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10506222 + ... + 10506258.

Almost surely, 2388730880 is an apocalyptic number.

388730880 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 388730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747019200).

388730880 is an abundant number, since it is smaller than the sum of its proper divisors (1105307520).

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

388730880 is a wasteful number, since it uses less digits than its factorization.

388730880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 388730880 is about 19716.2592800967. The cubic root of 388730880 is about 729.8209856913.

The spelling of 388730880 in words is "three hundred eighty-eight million, seven hundred thirty thousand, eight hundred eighty".