Search a number
-
+
290995320 = 233572112409
BaseRepresentation
bin10001010110000…
…011110001111000
3202021120002112110
4101112003301320
51043443322240
644513012320
710132263600
oct2126036170
9667502473
10290995320
1113a294100
12815540a0
13483972a5
142a90bc00
151a830c80
hex11583c78

290995320 has 288 divisors, whose sum is σ = 1118955600. Its totient is φ = 60318720.

The previous prime is 290995303. The next prime is 290995321. The reversal of 290995320 is 23599092.

290995320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290995321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 711276 + ... + 711684.

Almost surely, 2290995320 is an apocalyptic number.

290995320 is a gapful number since it is divisible by the number (20) 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 290995320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559477800).

290995320 is an abundant number, since it is smaller than the sum of its proper divisors (827960280).

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

290995320 is a wasteful number, since it uses less digits than its factorization.

290995320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 290995320 is about 17058.5849354511. The cubic root of 290995320 is about 662.6669862680. Note that the first 3 decimals are identical.

The spelling of 290995320 in words is "two hundred ninety million, nine hundred ninety-five thousand, three hundred twenty".