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290377248 = 25373153263
BaseRepresentation
bin10001010011101…
…100111000100000
3202020101200200220
4101103230320200
51043314032443
644451443040
710124110620
oct2123547040
9666350626
10290377248
11139a017a7
12812b6480
134820bb75
142a7ca880
151a75ca83
hex114ece20

290377248 has 192 divisors, whose sum is σ = 919683072. Its totient is φ = 78474240.

The previous prime is 290377229. The next prime is 290377253. The reversal of 290377248 is 842773092.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1103965 + ... + 1104227.

It is an arithmetic number, because the mean of its divisors is an integer number (4790016).

Almost surely, 2290377248 is an apocalyptic number.

290377248 is a gapful number since it is divisible by the number (28) 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 290377248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459841536).

290377248 is an abundant number, since it is smaller than the sum of its proper divisors (629305824).

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

290377248 is a wasteful number, since it uses less digits than its factorization.

290377248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 290377248 is about 17040.4591487436. The cubic root of 290377248 is about 662.1974870438.

The spelling of 290377248 in words is "two hundred ninety million, three hundred seventy-seven thousand, two hundred forty-eight".