| Base | Representation |
|---|---|
| bin | 1100110010010110… |
| … | …1101100110000000 |
| 3 | 22212012201220221200 |
| 4 | 3030211231212000 |
| 5 | 24012201010034 |
| 6 | 1324333021200 |
| 7 | 151026146202 |
| oct | 31445554600 |
| 9 | 8765656850 |
| 10 | 3432438144 |
| 11 | 1501581643 |
| 12 | 7b9624800 |
| 13 | 4291727b5 |
| 14 | 247c12772 |
| 15 | 151513a99 |
| hex | cc96d980 |
3432438144 has 192 divisors, whose sum is σ = 10310976000. Its totient is φ = 1094639616.
The previous prime is 3432438137. The next prime is 3432438151. The reversal of 3432438144 is 4418342343.
It is an interprime number because it is at equal distance from previous prime (3432438137) and next prime (3432438151).
It is a tau number, because it is divible by the number of its divisors (192).
It is a super-2 number, since 2×34324381442 = 23563263224772329472, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 3432438099 and 3432438108.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4242412 + ... + 4243220.
It is an arithmetic number, because the mean of its divisors is an integer number (53703000).
Almost surely, 23432438144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3432438144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155488000).
3432438144 is an abundant number, since it is smaller than the sum of its proper divisors (6878537856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3432438144 is a wasteful number, since it uses less digits than its factorization.
3432438144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 985 (or 970 counting only the distinct ones).
The product of its digits is 110592, while the sum is 36.
The square root of 3432438144 is about 58587.0134415469. The cubic root of 3432438144 is about 1508.4615332185.
The spelling of 3432438144 in words is "three billion, four hundred thirty-two million, four hundred thirty-eight thousand, one hundred forty-four".
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