Base | Representation |
---|---|
bin | 111001010010… |
… | …0000010101110 |
3 | 2002111210020000 |
4 | 1302210002232 |
5 | 30142011141 |
6 | 2551405130 |
7 | 513160662 |
oct | 162440256 |
9 | 62453200 |
10 | 30032046 |
11 | 15a52580 |
12 | a0837a6 |
13 | 62b6755 |
14 | 3dba8a2 |
15 | 29835b6 |
hex | 1ca40ae |
30032046 has 80 divisors (see below), whose sum is σ = 77362560. Its totient is φ = 8611920.
The previous prime is 30032039. The next prime is 30032053. The reversal of 30032046 is 64023003.
30032046 is a `hidden beast` number, since 300 + 320 + 46 = 666.
It is an interprime number because it is at equal distance from previous prime (30032039) and next prime (30032053).
It is a super-2 number, since 2×300320462 = 1803847573892232, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33415 + ... + 34301.
It is an arithmetic number, because the mean of its divisors is an integer number (967032).
Almost surely, 230032046 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 30032046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38681280).
30032046 is an abundant number, since it is smaller than the sum of its proper divisors (47330514).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30032046 is a wasteful number, since it uses less digits than its factorization.
30032046 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 931 (or 922 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 30032046 is about 5480.1501804239. The cubic root of 30032046 is about 310.8338494163.
Adding to 30032046 its reverse (64023003), we get a palindrome (94055049).
The spelling of 30032046 in words is "thirty million, thirty-two thousand, forty-six", and thus it is an eban number.
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