Base | Representation |
---|---|
bin | 111101101001110… |
… | …100101101110000 |
3 | 2200002100122101011 |
4 | 331221310231300 |
5 | 4104244432000 |
6 | 250350120304 |
7 | 34430014432 |
oct | 7551645560 |
9 | 2602318334 |
10 | 1034374000 |
11 | 490971550 |
12 | 24a4b0094 |
13 | 1363b402a |
14 | 9b538652 |
15 | 60c212ba |
hex | 3da74b70 |
1034374000 has 80 divisors (see below), whose sum is σ = 2728548576. Its totient is φ = 376128000.
The previous prime is 1034373929. The next prime is 1034374037. The reversal of 1034374000 is 4734301.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1509 + ... + 45508.
Almost surely, 21034374000 is an apocalyptic number.
1034374000 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 1034374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364274288).
1034374000 is an abundant number, since it is smaller than the sum of its proper divisors (1694174576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1034374000 is a wasteful number, since it uses less digits than its factorization.
1034374000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 47051 (or 47035 counting only the distinct ones).
The product of its (nonzero) digits is 1008, while the sum is 22.
The square root of 1034374000 is about 32161.6852792263. The cubic root of 1034374000 is about 1011.3291653139.
The spelling of 1034374000 in words is "one billion, thirty-four million, three hundred seventy-four thousand".
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