Search a number
-
+
290372064 = 2533024709
BaseRepresentation
bin10001010011101…
…011100111100000
3202020101102120220
4101103223213200
51043313401224
644451403040
710124056533
oct2123534740
9666342526
10290372064
111399a8914
12812b3480
13482096b8
142a7c8a1a
151a75b279
hex114eb9e0

290372064 has 24 divisors (see below), whose sum is σ = 762226920. Its totient is φ = 96790656.

The previous prime is 290372059. The next prime is 290372113. The reversal of 290372064 is 460273092.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1512259 + ... + 1512450.

It is an arithmetic number, because the mean of its divisors is an integer number (31759455).

Almost surely, 2290372064 is an apocalyptic number.

290372064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

290372064 is an abundant number, since it is smaller than the sum of its proper divisors (471854856).

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

290372064 is a wasteful number, since it uses less digits than its factorization.

290372064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024722 (or 3024714 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 290372064 is about 17040.3070394873. The cubic root of 290372064 is about 662.1935463629.

The spelling of 290372064 in words is "two hundred ninety million, three hundred seventy-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3024709 6049418 9074127 12098836 18148254 24197672 36296508 48395344 72593016 96790688 145186032 290372064