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290245320 = 233256113217
BaseRepresentation
bin10001010011001…
…100101011001000
3202020010222201200
4101103030223020
51043300322240
644444544200
710123021161
oct2123145310
9666128650
10290245320
11139921672
1281252060
1348193ac1
142a794768
151a733930
hex114ccac8

290245320 has 96 divisors (see below), whose sum is σ = 958833720. Its totient is φ = 76124160.

The previous prime is 290245297. The next prime is 290245327. The reversal of 290245320 is 23542092.

It can be written as a sum of positive squares in 4 ways, for example, as 137030436 + 153214884 = 11706^2 + 12378^2 .

It is not an unprimeable number, because it can be changed into a prime (290245327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15352 + ... + 28568.

Almost surely, 2290245320 is an apocalyptic number.

290245320 is a gapful number since it is divisible by the number (20) 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 290245320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479416860).

290245320 is an abundant number, since it is smaller than the sum of its proper divisors (668588400).

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

290245320 is a wasteful number, since it uses less digits than its factorization.

290245320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13295 (or 13288 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 290245320 is about 17036.5876865058. The cubic root of 290245320 is about 662.0971857695.

The spelling of 290245320 in words is "two hundred ninety million, two hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 3660 4392 5490 7320 10980 13217 21960 26434 39651 52868 66085 79302 105736 118953 132170 158604 198255 237906 264340 317208 396510 475812 528680 594765 793020 806237 951624 1189530 1586040 1612474 2379060 2418711 3224948 4031185 4758120 4837422 6449896 7256133 8062370 9674844 12093555 14512266 16124740 19349688 24187110 29024532 32249480 36280665 48374220 58049064 72561330 96748440 145122660 290245320