Base | Representation |
---|---|
bin | 101000000110111… |
… | …1001100001111100 |
3 | 10110210101210001200 |
4 | 1100031321201330 |
5 | 10224012231141 |
6 | 341313335500 |
7 | 45231200535 |
oct | 12015714174 |
9 | 3423353050 |
10 | 1345820796 |
11 | 6307540a1 |
12 | 316867590 |
13 | 185a8c088 |
14 | caa4b68c |
15 | 7d241ab6 |
hex | 5037987c |
1345820796 has 72 divisors (see below), whose sum is σ = 3483370800. Its totient is φ = 437978880.
The previous prime is 1345820783. The next prime is 1345820797. The reversal of 1345820796 is 6970285431.
1345820796 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×13458207962 = 3622467229892147232, which contains 22 as substring.
1345820796 is strictly pandigital in base 10.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1345820797) 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, 303040 + ... + 307448.
It is an arithmetic number, because the mean of its divisors is an integer number (48380150).
It is a 1-persistent number, because it is pandigital, but 2⋅1345820796 = 2691641592 is not.
Almost surely, 21345820796 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 1345820796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741685400).
1345820796 is an abundant number, since it is smaller than the sum of its proper divisors (2137550004).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1345820796 is a wasteful number, since it uses less digits than its factorization.
1345820796 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4619 (or 4614 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 1345820796 is about 36685.4302959635. The cubic root of 1345820796 is about 1104.0678026253.
The spelling of 1345820796 in words is "one billion, three hundred forty-five million, eight hundred twenty thousand, seven hundred ninety-six".
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