Base | Representation |
---|---|
bin | 1100110000000010… |
… | …1101100010100000 |
3 | 22211112111010200000 |
4 | 3030000231202200 |
5 | 24002210113332 |
6 | 1323345100000 |
7 | 150550540500 |
oct | 31400554240 |
9 | 8745433600 |
10 | 3422738592 |
11 | 14a7057189 |
12 | 7b6327600 |
13 | 427157910 |
14 | 246809a00 |
15 | 150749b7c |
hex | cc02d8a0 |
3422738592 has 432 divisors, whose sum is σ = 12663417312. Its totient is φ = 901393920.
The previous prime is 3422738591. The next prime is 3422738597. The reversal of 3422738592 is 2958372243.
3422738592 is a `hidden beast` number, since 3 + 4 + 2 + 27 + 38 + 592 = 666.
It is a tau number, because it is divible by the number of its divisors (432).
It is a super-2 number, since 2×34227385922 = 23430278938332284928, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (3422738591) by changing a digit.
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 71 ways as a sum of consecutive naturals, for example, 4952967 + ... + 4953657.
It is an arithmetic number, because the mean of its divisors is an integer number (29313466).
Almost surely, 23422738592 is an apocalyptic number.
3422738592 is a gapful number since it is divisible by the number (32) 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 3422738592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6331708656).
3422738592 is an abundant number, since it is smaller than the sum of its proper divisors (9240678720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3422738592 is a wasteful number, since it uses less digits than its factorization.
3422738592 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 743 (or 716 counting only the distinct ones).
The product of its digits is 725760, while the sum is 45.
The square root of 3422738592 is about 58504.1758509596. The cubic root of 3422738592 is about 1507.0392978484.
The spelling of 3422738592 in words is "three billion, four hundred twenty-two million, seven hundred thirty-eight thousand, five hundred ninety-two".
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