Base | Representation |
---|---|
bin | 1100110111010010100000 |
3 | 20100022210000 |
4 | 30313102200 |
5 | 1330402232 |
6 | 200140000 |
7 | 40443315 |
oct | 14672240 |
9 | 6308700 |
10 | 3372192 |
11 | 19a363a |
12 | 1167600 |
13 | 910ba5 |
14 | 63ad0c |
15 | 46927c |
hex | 3374a0 |
3372192 has 60 divisors (see below), whose sum is σ = 9925146. Its totient is φ = 1123200.
The previous prime is 3372179. The next prime is 3372197. The reversal of 3372192 is 2912733.
3372192 = 683 + 693 + ... + 763.
It can be written as a sum of positive squares in only one way, i.e., 3370896 + 1296 = 1836^2 + 36^2 .
It is a super-2 number, since 2×33721922 = 22743357769728, which contains 22 as substring.
It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (3372197) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1942 + ... + 3242.
Almost surely, 23372192 is an apocalyptic number.
3372192 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 3372192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4962573).
3372192 is an abundant number, since it is smaller than the sum of its proper divisors (6552954).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3372192 is a wasteful number, since it uses less digits than its factorization.
3372192 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1323 (or 1306 counting only the distinct ones).
The product of its digits is 2268, while the sum is 27.
The square root of 3372192 is about 1836.3529072594. The cubic root of 3372192 is about 149.9583884576.
The spelling of 3372192 in words is "three million, three hundred seventy-two thousand, one hundred ninety-two".
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