Search a number
-
+
290472336 = 2432711172367
BaseRepresentation
bin10001010100000…
…100000110010000
3202020120112010200
4101110010012100
51043330103321
644453455200
710124655060
oct2124040620
9666515120
10290472336
11139a67190
1281341500
134824322b
142a8133a0
151a77ad26
hex11504190

290472336 has 480 divisors, whose sum is σ = 1136498688. Its totient is φ = 66908160.

The previous prime is 290472307. The next prime is 290472341. The reversal of 290472336 is 633274092.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 290472336.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4335375 + ... + 4335441.

Almost surely, 2290472336 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 290472336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568249344).

290472336 is an abundant number, since it is smaller than the sum of its proper divisors (846026352).

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

290472336 is a wasteful number, since it uses less digits than its factorization.

290472336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 290472336 is about 17043.2489860355. The cubic root of 290472336 is about 662.2697610290.

The spelling of 290472336 in words is "two hundred ninety million, four hundred seventy-two thousand, three hundred thirty-six".