Base | Representation |
---|---|
bin | 111101101000101… |
… | …011011110010000 |
3 | 2200001210101212001 |
4 | 331220223132100 |
5 | 4104210332000 |
6 | 250335443344 |
7 | 34424325001 |
oct | 7550533620 |
9 | 2601711761 |
10 | 1034074000 |
11 | 490787113 |
12 | 24a386554 |
13 | 13630a60b |
14 | 9b49b1a8 |
15 | 60bb246a |
hex | 3da2b790 |
1034074000 has 80 divisors (see below), whose sum is σ = 2514410496. Its totient is φ = 411312000.
The previous prime is 1034073979. The next prime is 1034074007. The reversal of 1034074000 is 4704301.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (80).
It is not an unprimeable number, because it can be changed into a prime (1034074007) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380647 + ... + 383353.
Almost surely, 21034074000 is an apocalyptic number.
1034074000 is a gapful number since it is divisible by the number (10) 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 1034074000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257205248).
1034074000 is an abundant number, since it is smaller than the sum of its proper divisors (1480336496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1034074000 is a wasteful number, since it uses less digits than its factorization.
1034074000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2921 (or 2905 counting only the distinct ones).
The product of its (nonzero) digits is 336, while the sum is 19.
The square root of 1034074000 is about 32157.0210063059. The cubic root of 1034074000 is about 1011.2313837616.
Adding to 1034074000 its reverse (4704301), we get a palindrome (1038778301).
The spelling of 1034074000 in words is "one billion, thirty-four million, seventy-four thousand".
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