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290480814 = 232131518221
BaseRepresentation
bin10001010100000…
…110001010101110
3202020120221202200
4101110012022232
51043330341224
644454002330
710125021561
oct2124061256
9666527680
10290480814
11139a72598
12813463a6
1348247050
142a8164d8
151a77d5c9
hex115062ae

290480814 has 48 divisors (see below), whose sum is σ = 682360224. Its totient is φ = 88776000.

The previous prime is 290480807. The next prime is 290480831. The reversal of 290480814 is 418084092.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31224 + ... + 39444.

It is an arithmetic number, because the mean of its divisors is an integer number (14215838).

Almost surely, 2290480814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290480814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341180112).

290480814 is an abundant number, since it is smaller than the sum of its proper divisors (391879410).

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

290480814 is a wasteful number, since it uses less digits than its factorization.

290480814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8393 (or 8390 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 290480814 is about 17043.4977044033. The cubic root of 290480814 is about 662.2762041766.

The spelling of 290480814 in words is "two hundred ninety million, four hundred eighty thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 151 234 302 453 906 1359 1963 2718 3926 5889 8221 11778 16442 17667 24663 35334 49326 73989 106873 147978 213746 320619 641238 961857 1241371 1923714 2482742 3724113 7448226 11172339 16137823 22344678 32275646 48413469 96826938 145240407 290480814