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290627304 = 233113729753
BaseRepresentation
bin10001010100101…
…001111011101000
3202020212101201020
4101110221323220
51043400033204
644501052440
710126201632
oct2124517350
9666771636
10290627304
1113a062660
12813b7120
1348298926
142a853a52
151a7abbd9
hex11529ee8

290627304 has 64 divisors (see below), whose sum is σ = 814069440. Its totient is φ = 85685760.

The previous prime is 290627303. The next prime is 290627327. The reversal of 290627304 is 403726092.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (290627303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5109 + ... + 24644.

It is an arithmetic number, because the mean of its divisors is an integer number (12719835).

Almost surely, 2290627304 is an apocalyptic number.

290627304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

290627304 is an abundant number, since it is smaller than the sum of its proper divisors (523442136).

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

290627304 is a wasteful number, since it uses less digits than its factorization.

290627304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29810 (or 29806 counting only the distinct ones).

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

The square root of 290627304 is about 17047.7946960890. The cubic root of 290627304 is about 662.3875144966.

The spelling of 290627304 in words is "two hundred ninety million, six hundred twenty-seven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 9768 29753 59506 89259 119012 178518 238024 327283 357036 654566 714072 981849 1100861 1309132 1963698 2201722 2618264 3302583 3927396 4403444 6605166 7854792 8806888 12109471 13210332 24218942 26420664 36328413 48437884 72656826 96875768 145313652 290627304