Base | Representation |
---|---|
bin | 1000110001111111… |
… | …0000000010000000 |
3 | 20002021100210012112 |
4 | 2030133300002000 |
5 | 14311411232230 |
6 | 1025521314452 |
7 | 112261206104 |
oct | 21437600200 |
9 | 6067323175 |
10 | 2357133440 |
11 | aaa5a4272 |
12 | 559495a28 |
13 | 2b745a41c |
14 | 1850a1904 |
15 | dbe09d95 |
hex | 8c7f0080 |
2357133440 has 32 divisors (see below), whose sum is σ = 5635023660. Its totient is φ = 942853120.
The previous prime is 2357133431. The next prime is 2357133481. The reversal of 2357133440 is 443317532.
It can be written as a sum of positive squares in 2 ways, for example, as 2313994816 + 43138624 = 48104^2 + 6568^2 .
It is a tau number, because it is divible by the number of its divisors (32).
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a junction number, because it is equal to n+sod(n) for n = 2357133397 and 2357133406.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1840871 + ... + 1842150.
Almost surely, 22357133440 is an apocalyptic number.
2357133440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2357133440 is an abundant number, since it is smaller than the sum of its proper divisors (3277890220).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2357133440 is an equidigital number, since it uses as much as digits as its factorization.
2357133440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3683040 (or 3683028 counting only the distinct ones).
The product of its (nonzero) digits is 30240, while the sum is 32.
The square root of 2357133440 is about 48550.3186395311. The cubic root of 2357133440 is about 1330.8467745406.
The spelling of 2357133440 in words is "two billion, three hundred fifty-seven million, one hundred thirty-three thousand, four hundred forty".
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