Base | Representation |
---|---|
bin | 1100100100001111… |
… | …0111000000000000 |
3 | 22201002022221120021 |
4 | 3021003313000000 |
5 | 23402021412003 |
6 | 1314420023224 |
7 | 146410000000 |
oct | 31103670000 |
9 | 8632287507 |
10 | 3373232128 |
11 | 1481113252 |
12 | 7a1831b14 |
13 | 419b13056 |
14 | 240000000 |
15 | 14b21b2bd |
hex | c90f7000 |
3373232128 has 104 divisors (see below), whose sum is σ = 7869912800. Its totient is φ = 1445670912.
The previous prime is 3373232101. The next prime is 3373232131. The reversal of 3373232128 is 8212323733.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a super-2 number, since 2×33732321282 = 22757389978742816768, which contains 22 as substring.
Its product of digits (36288) is a multiple of the sum of its prime divisors (9).
It is a junction number, because it is equal to n+sod(n) for n = 3373232093 and 3373232102.
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 481890301 + ... + 481890307.
Almost surely, 23373232128 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 3373232128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934956400).
3373232128 is an abundant number, since it is smaller than the sum of its proper divisors (4496680672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3373232128 is an frugal number, since it uses more digits than its factorization.
3373232128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 73 (or 9 counting only the distinct ones).
The product of its digits is 36288, while the sum is 34.
The square root of 3373232128 is about 58079.5327804899. The cubic root of 3373232128 is about 1499.7380472936.
Multiplying 3373232128 by its product of digits (36288), we get a square (122407847460864 = 110638082).
The spelling of 3373232128 in words is "three billion, three hundred seventy-three million, two hundred thirty-two thousand, one hundred twenty-eight".
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