| Base | Representation |
|---|---|
| bin | 1100111011111111… |
| … | …0011000100000000 |
| 3 | 22222000202002011000 |
| 4 | 3032333303010000 |
| 5 | 24103021040340 |
| 6 | 1332334452000 |
| 7 | 152026400622 |
| oct | 31677630400 |
| 9 | 8860662130 |
| 10 | 3472830720 |
| 11 | 1522360137 |
| 12 | 80b064000 |
| 13 | 434645c28 |
| 14 | 24d328c12 |
| 15 | 154d41d30 |
| hex | ceff3100 |
3472830720 has 576 divisors, whose sum is σ = 13668963840. Its totient is φ = 830472192.
The previous prime is 3472830701. The next prime is 3472830727. The reversal of 3472830720 is 270382743.
3472830720 is a `hidden beast` number, since 347 + 2 + 8 + 307 + 2 + 0 = 666.
3472830720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (576).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (3472830727) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13512832 + ... + 13513088.
It is an arithmetic number, because the mean of its divisors is an integer number (23730840).
Almost surely, 23472830720 is an apocalyptic number.
3472830720 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 3472830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6834481920).
3472830720 is an abundant number, since it is smaller than the sum of its proper divisors (10196133120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3472830720 is a wasteful number, since it uses less digits than its factorization.
3472830720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 327 (or 307 counting only the distinct ones).
The product of its (nonzero) digits is 56448, while the sum is 36.
The square root of 3472830720 is about 58930.7281475463. The cubic root of 3472830720 is about 1514.3556126341.
The spelling of 3472830720 in words is "three billion, four hundred seventy-two million, eight hundred thirty thousand, seven hundred twenty".
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