Base | Representation |
---|---|
bin | 1100100010010011… |
… | …10011011001100100 |
3 | 122101001010021122100 |
4 | 12101021303121210 |
5 | 102240414432234 |
6 | 3031500132100 |
7 | 325532016564 |
oct | 62111633144 |
9 | 18331107570 |
10 | 6730233444 |
11 | 2944050000 |
12 | 1379b37030 |
13 | 83346246c |
14 | 47bbb6da4 |
15 | 295ccd399 |
hex | 191273664 |
6730233444 has 135 divisors (see below), whose sum is σ = 18880745065. Its totient is φ = 2021416320.
The previous prime is 6730233439. The next prime is 6730233457. The reversal of 6730233444 is 4443320376.
The square root of 6730233444 is 82038.
It is a perfect power (a square), and thus also a powerful number.
6730233444 is a `hidden beast` number, since 6 + 7 + 302 + 3 + 344 + 4 = 666.
It can be written as a sum of positive squares in only one way, i.e., 118592100 + 6611641344 = 10890^2 + 81312^2 .
It is a super-2 number, since 2×67302334442 = 90592084421472202272, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 6730233399 and 6730233408.
It is an unprimeable number.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 59559532 + ... + 59559644.
Almost surely, 26730233444 is an apocalyptic number.
6730233444 is the 82038-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 6730233444
6730233444 is an abundant number, since it is smaller than the sum of its proper divisors (12150511621).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6730233444 is a wasteful number, since it uses less digits than its factorization.
6730233444 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 280 (or 129 counting only the distinct ones).
The product of its (nonzero) digits is 145152, while the sum is 36.
The cubic root of 6730233444 is about 1888.0350082234.
Multiplying 6730233444 by its sum of digits (36), we get a square (242288403984 = 4922282).
6730233444 divided by its sum of digits (36) gives a square (186950929 = 136732).
The spelling of 6730233444 in words is "six billion, seven hundred thirty million, two hundred thirty-three thousand, four hundred forty-four".
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