Search a number
-
+
290315772 = 223314918041
BaseRepresentation
bin10001010011011…
…101110111111100
3202020021120101000
4101103131313330
51043310101042
644450250300
710123433445
oct2123356774
9666246330
10290315772
1113996a59a
1281286990
13481b9ba6
142a7b22cc
151a74974c
hex114dddfc

290315772 has 48 divisors (see below), whose sum is σ = 757764000. Its totient is φ = 96117120.

The previous prime is 290315737. The next prime is 290315791. The reversal of 290315772 is 277513092.

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 15 ways as a sum of consecutive naturals, for example, 7072 + ... + 25112.

It is an arithmetic number, because the mean of its divisors is an integer number (15786750).

Almost surely, 2290315772 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 290315772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378882000).

290315772 is an abundant number, since it is smaller than the sum of its proper divisors (467448228).

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

290315772 is a wasteful number, since it uses less digits than its factorization.

290315772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18203 (or 18195 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 290315772 is about 17038.6552286265. The cubic root of 290315772 is about 662.1507522919.

The spelling of 290315772 in words is "two hundred ninety million, three hundred fifteen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 149 298 447 596 894 1341 1788 2682 4023 5364 8046 16092 18041 36082 54123 72164 108246 162369 216492 324738 487107 649476 974214 1948428 2688109 5376218 8064327 10752436 16128654 24192981 32257308 48385962 72578943 96771924 145157886 290315772