Base | Representation |
---|---|
bin | 1000000111000… |
… | …0001110100000 |
3 | 2101000002120221 |
4 | 2001300032200 |
5 | 32201422422 |
6 | 3213012424 |
7 | 562054336 |
oct | 201601640 |
9 | 71002527 |
10 | 34014112 |
11 | 18222340 |
12 | b484114 |
13 | 707c0c2 |
14 | 4735b56 |
15 | 2ebd3c7 |
hex | 20703a0 |
34014112 has 48 divisors (see below), whose sum is σ = 74136384. Its totient is φ = 15232000.
The previous prime is 34014103. The next prime is 34014119. The reversal of 34014112 is 21141043.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is not an unprimeable number, because it can be changed into a prime (34014119) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24312 + ... + 25672.
It is an arithmetic number, because the mean of its divisors is an integer number (1544508).
Almost surely, 234014112 is an apocalyptic number.
34014112 is a gapful number since it is divisible by the number (32) 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 34014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37068192).
34014112 is an abundant number, since it is smaller than the sum of its proper divisors (40122272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34014112 is a wasteful number, since it uses less digits than its factorization.
34014112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1453 (or 1445 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 16.
The square root of 34014112 is about 5832.1618633231. The cubic root of 34014112 is about 324.0059949102.
Adding to 34014112 its reverse (21141043), we get a palindrome (55155155).
The spelling of 34014112 in words is "thirty-four million, fourteen thousand, one hundred twelve".
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