Base | Representation |
---|---|
bin | 100010001000010000000… |
… | …110010100011000101000 |
3 | 22022012200112112222200111 |
4 | 202020100012110120220 |
5 | 301411204443013212 |
6 | 4553232014544104 |
7 | 331305162034531 |
oct | 42102006243050 |
9 | 8265615488614 |
10 | 2345322235432 |
11 | 824711294400 |
12 | 31a657808034 |
13 | 140216c88967 |
14 | 8172ad81688 |
15 | 4101952bea7 |
hex | 22210194628 |
2345322235432 has 384 divisors, whose sum is σ = 5356039127040. Its totient is φ = 958003200000.
The previous prime is 2345322235409. The next prime is 2345322235469.
2345322235432 is nontrivially palindromic in base 10.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8654325457 + ... + 8654325727.
It is an arithmetic number, because the mean of its divisors is an integer number (13948018560).
Almost surely, 22345322235432 is an apocalyptic number.
2345322235432 is a gapful number since it is divisible by the number (22) 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 2345322235432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678019563520).
2345322235432 is an abundant number, since it is smaller than the sum of its proper divisors (3010716891608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2345322235432 is a wasteful number, since it uses less digits than its factorization.
2345322235432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 585 (or 570 counting only the distinct ones).
The product of its digits is 1036800, while the sum is 40.
The spelling of 2345322235432 in words is "two trillion, three hundred forty-five billion, three hundred twenty-two million, two hundred thirty-five thousand, four hundred thirty-two".
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