Search a number
-
+
731090880 = 263351323283
BaseRepresentation
bin101011100100111…
…000111111000000
31212221200021011000
4223210320333000
52444124402010
6200313452000
724055112202
oct5344707700
91787607130
10731090880
11345755443
12184a11000
13b8606a70
146d14c772
15442b47c0
hex2b938fc0

731090880 has 448 divisors, whose sum is σ = 2908523520. Its totient is φ = 171528192.

The previous prime is 731090863. The next prime is 731090897. The reversal of 731090880 is 88090137.

731090880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (731090863) and next prime (731090897).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2583219 + ... + 2583501.

It is an arithmetic number, because the mean of its divisors is an integer number (6492240).

Almost surely, 2731090880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 731090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454261760).

731090880 is an abundant number, since it is smaller than the sum of its proper divisors (2177432640).

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

731090880 is a wasteful number, since it uses less digits than its factorization.

731090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 731090880 is about 27038.6922760699. The cubic root of 731090880 is about 900.8596231254.

The spelling of 731090880 in words is "seven hundred thirty-one million, ninety thousand, eight hundred eighty".