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290643104 = 25293110103
BaseRepresentation
bin10001010100101…
…101110010100000
3202020220012101102
4101110231302200
51043401034404
644501253532
710126265663
oct2124556240
9666805342
10290643104
1113a073514
12814042a8
13482a2b8b
142a8596da
151a7b171e
hex1152dca0

290643104 has 48 divisors (see below), whose sum is σ = 611089920. Its totient is φ = 135770880.

The previous prime is 290643097. The next prime is 290643109. The reversal of 290643104 is 401346092.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (290643109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23717 + ... + 33819.

It is an arithmetic number, because the mean of its divisors is an integer number (12731040).

Almost surely, 2290643104 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 290643104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305544960).

290643104 is an abundant number, since it is smaller than the sum of its proper divisors (320446816).

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

290643104 is a wasteful number, since it uses less digits than its factorization.

290643104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10173 (or 10165 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 290643104 is about 17048.2580928375. The cubic root of 290643104 is about 662.3995178803.

Adding to 290643104 its reverse (401346092), we get a palindrome (691989196).

The spelling of 290643104 in words is "two hundred ninety million, six hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 29 31 32 58 62 116 124 232 248 464 496 899 928 992 1798 3596 7192 10103 14384 20206 28768 40412 80824 161648 292987 313193 323296 585974 626386 1171948 1252772 2343896 2505544 4687792 5011088 9082597 9375584 10022176 18165194 36330388 72660776 145321552 290643104