Base | Representation |
---|---|
bin | 101000000100110… |
… | …1110010110100000 |
3 | 10110201100011212200 |
4 | 1100021232112200 |
5 | 10223222221212 |
6 | 341234053200 |
7 | 45215662140 |
oct | 12011562640 |
9 | 3421304780 |
10 | 1344726432 |
11 | 630076965 |
12 | 31641a200 |
13 | 185797c1a |
14 | ca844920 |
15 | 7d0c76dc |
hex | 5026e5a0 |
1344726432 has 144 divisors (see below), whose sum is σ = 4511549952. Its totient is φ = 371796480.
The previous prime is 1344726403. The next prime is 1344726437. The reversal of 1344726432 is 2346274431.
1344726432 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 7 + 2 + 643 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
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 not an unprimeable number, because it can be changed into a prime (1344726437) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51738 + ... + 73254.
It is an arithmetic number, because the mean of its divisors is an integer number (31330208).
Almost surely, 21344726432 is an apocalyptic number.
1344726432 is a gapful number since it is divisible by the number (12) 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 1344726432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255774976).
1344726432 is an abundant number, since it is smaller than the sum of its proper divisors (3166823520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1344726432 is a wasteful number, since it uses less digits than its factorization.
1344726432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 21571 (or 21560 counting only the distinct ones).
The product of its digits is 96768, while the sum is 36.
The square root of 1344726432 is about 36670.5117499061. The cubic root of 1344726432 is about 1103.7684612103.
The spelling of 1344726432 in words is "one billion, three hundred forty-four million, seven hundred twenty-six thousand, four hundred thirty-two".
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