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290693340 = 223357531451
BaseRepresentation
bin10001010100111…
…010000011011100
3202020222202022000
4101110322003130
51043404141330
644502322300
710126565310
oct2124720334
9666882260
10290693340
1113a0a8233
1281429390
13482bc9c2
142a86db40
151a7c1560
hex1153a0dc

290693340 has 192 divisors, whose sum is σ = 1053803520. Its totient is φ = 65145600.

The previous prime is 290693339. The next prime is 290693357. The reversal of 290693340 is 43396092.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 290693295 and 290693304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199615 + ... + 201065.

It is an arithmetic number, because the mean of its divisors is an integer number (5488560).

Almost surely, 2290693340 is an apocalyptic number.

290693340 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 290693340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526901760).

290693340 is an abundant number, since it is smaller than the sum of its proper divisors (763110180).

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

290693340 is a wasteful number, since it uses less digits than its factorization.

290693340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 290693340 is about 17049.7313761830. The cubic root of 290693340 is about 662.4376796724.

The spelling of 290693340 in words is "two hundred ninety million, six hundred ninety-three thousand, three hundred forty".