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290030832 = 243271322133
BaseRepresentation
bin10001010010011…
…000010011110000
3202012202002111200
4101102120103300
51043221441312
644440211200
710121135640
oct2122302360
9665662450
10290030832
11139795503
1281169b00
134811a2a0
142a73a520
151a6e00dc
hex114984f0

290030832 has 120 divisors (see below), whose sum is σ = 999040224. Its totient is φ = 76488192.

The previous prime is 290030831. The next prime is 290030849. The reversal of 290030832 is 238030092.

It is a super-2 number, since 2×2900308322 = 168235767021224448, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 290030796 and 290030805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290030831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2038 + ... + 24170.

Almost surely, 2290030832 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 290030832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499520112).

290030832 is an abundant number, since it is smaller than the sum of its proper divisors (709009392).

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

290030832 is a wasteful number, since it uses less digits than its factorization.

290030832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22167 (or 22158 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 290030832 is about 17030.2916005569. The cubic root of 290030832 is about 661.9340514742.

The spelling of 290030832 in words is "two hundred ninety million, thirty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 22133 44266 66399 88532 132798 154931 177064 199197 265596 287729 309862 354128 398394 464793 531192 575458 619724 796788 863187 929586 1062384 1150916 1239448 1394379 1593576 1726374 1859172 2014103 2301832 2478896 2589561 2788758 3187152 3452748 3718344 4028206 4603664 5179122 5577516 6042309 6905496 7436688 8056412 10358244 11155032 12084618 13810992 16112824 18126927 20716488 22310064 24169236 32225648 36253854 41432976 48338472 72507708 96676944 145015416 290030832