| Base | Representation |
|---|---|
| bin | 1000011100110000111… |
| … | …00000001001101000000 |
| 3 | 1000202100220211211202110 |
| 4 | 10032120130001031000 |
| 5 | 14224033443244444 |
| 6 | 341212111215320 |
| 7 | 26655256516320 |
| oct | 4163034011500 |
| 9 | 1022326754673 |
| 10 | 290320290624 |
| 11 | 102140265391 |
| 12 | 48323817540 |
| 13 | 214b95c4a20 |
| 14 | 100a1755280 |
| 15 | 78429bbcb9 |
| hex | 4398701340 |
290320290624 has 224 divisors, whose sum is σ = 995161108480. Its totient is φ = 72538011648.
The previous prime is 290320290619. The next prime is 290320290629. The reversal of 290320290624 is 426092023092.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (290320290619) and next prime (290320290629).
It is a tau number, because it is divible by the number of its divisors (224).
It is a super-2 number, since 2×2903202906242 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (39).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (290320290629) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 105304 + ... + 769239.
It is an arithmetic number, because the mean of its divisors is an integer number (4442683520).
Almost surely, 2290320290624 is an apocalyptic number.
290320290624 is a gapful number since it is divisible by the number (24) 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 290320290624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497580554240).
290320290624 is an abundant number, since it is smaller than the sum of its proper divisors (704840817856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
290320290624 is a wasteful number, since it uses less digits than its factorization.
290320290624 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 874597 (or 874587 counting only the distinct ones).
The product of its (nonzero) digits is 93312, while the sum is 39.
The spelling of 290320290624 in words is "two hundred ninety billion, three hundred twenty million, two hundred ninety thousand, six hundred twenty-four".
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