Base | Representation |
---|---|
bin | 1100010101001100… |
… | …1001101110101100 |
3 | 22112200121010122200 |
4 | 3011103021232230 |
5 | 23234343212030 |
6 | 1304243341500 |
7 | 145012442010 |
oct | 30523115654 |
9 | 8480533580 |
10 | 3310132140 |
11 | 14495352a7 |
12 | 784681890 |
13 | 409a1c093 |
14 | 235896540 |
15 | 145904d60 |
hex | c54c9bac |
3310132140 has 144 divisors (see below), whose sum is σ = 11516913408. Its totient is φ = 753846912.
The previous prime is 3310132087. The next prime is 3310132157. The reversal of 3310132140 is 412310133.
3310132140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351939 + ... + 361221.
Almost surely, 23310132140 is an apocalyptic number.
3310132140 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 3310132140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5758456704).
3310132140 is an abundant number, since it is smaller than the sum of its proper divisors (8206781268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3310132140 is a wasteful number, since it uses less digits than its factorization.
3310132140 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9588 (or 9583 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 3310132140 is about 57533.7478355096. The cubic root of 3310132140 is about 1490.3277119512.
Adding to 3310132140 its reverse (412310133), we get a palindrome (3722442273).
The spelling of 3310132140 in words is "three billion, three hundred ten million, one hundred thirty-two thousand, one hundred forty".
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