| Base | Representation |
|---|---|
| bin | 100010000011100111111… |
| … | …000011001100000000000 |
| 3 | 22021201212012011211001100 |
| 4 | 202003213320121200000 |
| 5 | 301321020221433212 |
| 6 | 4551050524534400 |
| 7 | 331041055164630 |
| oct | 42034770314000 |
| 9 | 8251765154040 |
| 10 | 2340352530432 |
| 11 | 8225a0a99494 |
| 12 | 3196ab3b1400 |
| 13 | 13c9044a6407 |
| 14 | 813b8d286c0 |
| 15 | 40d280abbdc |
| hex | 220e7e19800 |
2340352530432 has 288 divisors, whose sum is σ = 7801520257440. Its totient is φ = 662047948800.
The previous prime is 2340352530431. The next prime is 2340352530433.
It is a happy number.
2340352530432 is a `hidden beast` number, since 2 + 3 + 40 + 3 + 52 + 530 + 4 + 32 = 666.
2340352530432 is nontrivially palindromic in base 10.
It is an interprime number because it is at equal distance from previous prime (2340352530431) and next prime (2340352530433).
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×23403525304322 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2340352530431) 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, 12941628 + ... + 13121220.
It is an arithmetic number, because the mean of its divisors is an integer number (27088612005).
Almost surely, 22340352530432 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 2340352530432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900760128720).
2340352530432 is an abundant number, since it is smaller than the sum of its proper divisors (5461167727008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2340352530432 is a wasteful number, since it uses less digits than its factorization.
2340352530432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 179729 (or 179706 counting only the distinct ones).
The product of its (nonzero) digits is 259200, while the sum is 36.
The spelling of 2340352530432 in words is "two trillion, three hundred forty billion, three hundred fifty-two million, five hundred thirty thousand, four hundred thirty-two".
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