Search a number
-
+
374990880 = 253511293179
BaseRepresentation
bin10110010110011…
…110100000100000
3222010121111210010
4112112132200200
51231444202010
6101113204520
712202240605
oct2626364040
9863544703
10374990880
11182744220
12a5700740
135c8c61c4
1437b346ac
1522dc3620
hex1659e820

374990880 has 384 divisors, whose sum is σ = 1393459200. Its totient is φ = 83865600.

The previous prime is 374990867. The next prime is 374990887. The reversal of 374990880 is 88099473.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (374990887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4746681 + ... + 4746759.

It is an arithmetic number, because the mean of its divisors is an integer number (3628800).

Almost surely, 2374990880 is an apocalyptic number.

374990880 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 374990880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696729600).

374990880 is an abundant number, since it is smaller than the sum of its proper divisors (1018468320).

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

374990880 is a wasteful number, since it uses less digits than its factorization.

374990880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 374990880 is about 19364.6812522179. The cubic root of 374990880 is about 721.1189391881.

The spelling of 374990880 in words is "three hundred seventy-four million, nine hundred ninety thousand, eight hundred eighty".