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290033024 = 2719313847
BaseRepresentation
bin10001010010011…
…000110110000000
3202012202012111212
4101102120312000
51043222024044
644440225252
710121145221
oct2122306600
9665665455
10290033024
11139797116
128116b228
134811b298
142a73b248
151a6e0a9e
hex11498d80

290033024 has 64 divisors (see below), whose sum is σ = 627993600. Its totient is φ = 132917760.

The previous prime is 290033021. The next prime is 290033027. The reversal of 290033024 is 420330092.

It is an interprime number because it is at equal distance from previous prime (290033021) and next prime (290033027).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290033021) 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, 73469 + ... + 77315.

It is an arithmetic number, because the mean of its divisors is an integer number (9812400).

Almost surely, 2290033024 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 290033024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313996800).

290033024 is an abundant number, since it is smaller than the sum of its proper divisors (337960576).

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

290033024 is a wasteful number, since it uses less digits than its factorization.

290033024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3911 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 290033024 is about 17030.3559563504. The cubic root of 290033024 is about 661.9357190622.

The spelling of 290033024 in words is "two hundred ninety million, thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 248 304 496 589 608 992 1178 1216 1984 2356 2432 3847 3968 4712 7694 9424 15388 18848 30776 37696 61552 73093 75392 119257 123104 146186 238514 246208 292372 477028 492416 584744 954056 1169488 1908112 2265883 2338976 3816224 4531766 4677952 7632448 9063532 9355904 15264896 18127064 36254128 72508256 145016512 290033024