Base | Representation |
---|---|
bin | 1000000110001… |
… | …00011010000000 |
3 | 11201210100121001 |
4 | 10003010122000 |
5 | 114341211334 |
6 | 10423341344 |
7 | 1453153042 |
oct | 403043200 |
9 | 151710531 |
10 | 67913344 |
11 | 35376334 |
12 | 1a8b1854 |
13 | 110bab15 |
14 | 903ba92 |
15 | 5e67714 |
hex | 40c4680 |
67913344 has 32 divisors (see below), whose sum is σ = 137332800. Its totient is φ = 33445632.
The previous prime is 67913341. The next prime is 67913347. The reversal of 67913344 is 44331976.
It is an interprime number because it is at equal distance from previous prime (67913341) and next prime (67913347).
It is a tau number, because it is divible by the number of its divisors (32).
It is a super-2 number, since 2×679133442 = 9224444586524672, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (67913341) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4617 + ... + 12535.
It is an arithmetic number, because the mean of its divisors is an integer number (4291650).
Almost surely, 267913344 is an apocalyptic number.
67913344 is a gapful number since it is divisible by the number (64) 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 67913344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68666400).
67913344 is an abundant number, since it is smaller than the sum of its proper divisors (69419456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
67913344 is an equidigital number, since it uses as much as digits as its factorization.
67913344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8000 (or 7988 counting only the distinct ones).
The product of its digits is 54432, while the sum is 37.
The square root of 67913344 is about 8240.9552844315. The cubic root of 67913344 is about 407.9920541833.
The spelling of 67913344 in words is "sixty-seven million, nine hundred thirteen thousand, three hundred forty-four".
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