Base | Representation |
---|---|
bin | 100111001111101110101100… |
… | …0101010100110101001100000 |
3 | 1200021021201000111001110222000 |
4 | 1032133131120222212221200 |
5 | 330221403010344314420 |
6 | 3222111014141444000 |
7 | 132466363552664460 |
oct | 11637353052465140 |
9 | 1607251014043860 |
10 | 345209483979360 |
11 | 9aaa357a128320 |
12 | 32873ab1870600 |
13 | 11a81164b98cc0 |
14 | 613632a175ba0 |
15 | 29d9a56b4e690 |
hex | 139f758aa6a60 |
345209483979360 has 9216 divisors, whose sum is σ = 1865142352281600. Its totient is φ = 57221008588800.
The previous prime is 345209483979359. The next prime is 345209483979361. The reversal of 345209483979360 is 63979384902543.
345209483979360 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 0 + 94 + 8 + 397 + 93 + 60 = 666.
It is an interprime number because it is at equal distance from previous prime (345209483979359) and next prime (345209483979361).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (345209483979361) by changing a digit.
It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 4862105408125 + ... + 4862105408195.
It is an arithmetic number, because the mean of its divisors is an integer number (202380897600).
Almost surely, 2345209483979360 is an apocalyptic number.
345209483979360 is a gapful number since it is divisible by the number (30) 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 345209483979360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932571176140800).
345209483979360 is an abundant number, since it is smaller than the sum of its proper divisors (1519932868302240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
345209483979360 is a wasteful number, since it uses less digits than its factorization.
345209483979360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 280 (or 207 counting only the distinct ones).
The product of its (nonzero) digits is 1058158080, while the sum is 72.
The spelling of 345209483979360 in words is "three hundred forty-five trillion, two hundred nine billion, four hundred eighty-three million, nine hundred seventy-nine thousand, three hundred sixty".
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