Base | Representation |
---|---|
bin | 1100110111001111… |
… | …0100010000000000 |
3 | 22220122021010200100 |
4 | 3031303310100000 |
5 | 24032421201030 |
6 | 1330343522400 |
7 | 151365162462 |
oct | 31563642000 |
9 | 8818233610 |
10 | 3452912640 |
11 | 1512096411 |
12 | 804459400 |
13 | 430490b98 |
14 | 24a822132 |
15 | 15320a360 |
hex | cdcf4400 |
3452912640 has 132 divisors (see below), whose sum is σ = 11964412044. Its totient is φ = 920764416.
The previous prime is 3452912633. The next prime is 3452912681. The reversal of 3452912640 is 462192543.
It is a happy number.
3452912640 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 9 + 1 + 2 + 640 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 1302921216 + 2149991424 = 36096^2 + 46368^2 .
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 3452912595 and 3452912604.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8614 + ... + 83546.
Almost surely, 23452912640 is an apocalyptic number.
3452912640 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 3452912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5982206022).
3452912640 is an abundant number, since it is smaller than the sum of its proper divisors (8511499404).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3452912640 is a wasteful number, since it uses less digits than its factorization.
3452912640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 74964 (or 74943 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
The square root of 3452912640 is about 58761.4894297277. The cubic root of 3452912640 is about 1511.4549139557.
The spelling of 3452912640 in words is "three billion, four hundred fifty-two million, nine hundred twelve thousand, six hundred forty".
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