Base | Representation |
---|---|
bin | 1000000110110… |
… | …1010001110100 |
3 | 2100222111000200 |
4 | 2001231101310 |
5 | 32201031121 |
6 | 3212440500 |
7 | 562004205 |
oct | 201552164 |
9 | 70874020 |
10 | 34002036 |
11 | 18214262 |
12 | b479130 |
13 | 7076763 |
14 | 47315ac |
15 | 2eb9a26 |
hex | 206d474 |
34002036 has 36 divisors (see below), whose sum is σ = 88916100. Its totient is φ = 10942848.
The previous prime is 34001999. The next prime is 34002047. The reversal of 34002036 is 63020043.
It can be written as a sum of positive squares in 2 ways, for example, as 27499536 + 6502500 = 5244^2 + 2550^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-2 number, since 2×340020362 = 2312276904290592, 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 11 ways as a sum of consecutive naturals, for example, 15241 + ... + 17328.
Almost surely, 234002036 is an apocalyptic number.
34002036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
It is an amenable number.
34002036 is an abundant number, since it is smaller than the sum of its proper divisors (54914064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34002036 is a wasteful number, since it uses less digits than its factorization.
34002036 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 32608 (or 32603 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 34002036 is about 5831.1264777914. The cubic root of 34002036 is about 323.9676465179.
Adding to 34002036 its reverse (63020043), we get a palindrome (97022079).
The spelling of 34002036 in words is "thirty-four million, two thousand, thirty-six", and thus it is an eban number.
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