Base | Representation |
---|---|
bin | 1000110110011… |
… | …00000010000000 |
3 | 12011200120200200 |
4 | 10123030002000 |
5 | 123001023112 |
6 | 11211045200 |
7 | 1560665403 |
oct | 433140200 |
9 | 164616620 |
10 | 74236032 |
11 | 389a46a2 |
12 | 20a40800 |
13 | 124c2960 |
14 | 9c05d3a |
15 | 67b5cdc |
hex | 46cc080 |
74236032 has 96 divisors (see below), whose sum is σ = 230100780. Its totient is φ = 22837248.
The previous prime is 74236013. The next prime is 74236033. The reversal of 74236032 is 23063247.
It can be written as a sum of positive squares in 2 ways, for example, as 74235456 + 576 = 8616^2 + 24^2 .
It is a tau number, because it is divible by the number of its divisors (96).
It is a junction number, because it is equal to n+sod(n) for n = 74235987 and 74236005.
It is not an unprimeable number, because it can be changed into a prime (74236033) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12498 + ... + 17454.
Almost surely, 274236032 is an apocalyptic number.
74236032 is a gapful number since it is divisible by the number (72) 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 74236032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115050390).
74236032 is an abundant number, since it is smaller than the sum of its proper divisors (155864748).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
74236032 is a wasteful number, since it uses less digits than its factorization.
74236032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4990 (or 4975 counting only the distinct ones).
The product of its (nonzero) digits is 6048, while the sum is 27.
The square root of 74236032 is about 8616.0334261190. The cubic root of 74236032 is about 420.2795417937.
Adding to 74236032 its reverse (23063247), we get a palindrome (97299279).
The spelling of 74236032 in words is "seventy-four million, two hundred thirty-six thousand, thirty-two".
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