Search a number
-
+
290904144 = 24316337181
BaseRepresentation
bin10001010101101…
…101100001010000
3202021101110110120
4101111231201100
51043432413034
644511030240
710131434016
oct2125554120
9667343416
10290904144
1113a231653
128150b380
134836493b
142a8c68b6
151a813c49
hex1156d850

290904144 has 40 divisors (see below), whose sum is σ = 756133152. Its totient is φ = 96370560.

The previous prime is 290904083. The next prime is 290904157. The reversal of 290904144 is 441409092.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10767 + ... + 26414.

Almost surely, 2290904144 is an apocalyptic number.

290904144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

290904144 is an abundant number, since it is smaller than the sum of its proper divisors (465229008).

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

290904144 is a wasteful number, since it uses less digits than its factorization.

290904144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37355 (or 37349 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 290904144 is about 17055.9122887051. The cubic root of 290904144 is about 662.5977690763.

The spelling of 290904144 in words is "two hundred ninety million, nine hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 163 326 489 652 978 1304 1956 2608 3912 7824 37181 74362 111543 148724 223086 297448 446172 594896 892344 1784688 6060503 12121006 18181509 24242012 36363018 48484024 72726036 96968048 145452072 290904144