Base | Representation |
---|---|
bin | 111101101101101… |
… | …110100100000000 |
3 | 2200011021122011222 |
4 | 331231232210000 |
5 | 4110030204001 |
6 | 250424054212 |
7 | 34441506146 |
oct | 7555564400 |
9 | 2604248158 |
10 | 1035397376 |
11 | 491500412 |
12 | 24a904368 |
13 | 136681a90 |
14 | 9b723596 |
15 | 60d7461b |
hex | 3db6e900 |
1035397376 has 72 divisors (see below), whose sum is σ = 2356785144. Its totient is φ = 449740800.
The previous prime is 1035397373. The next prime is 1035397421. The reversal of 1035397376 is 6737935301.
1035397376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 102400 + 1035294976 = 320^2 + 32176^2 .
It is not an unprimeable number, because it can be changed into a prime (1035397373) 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, 47426 + ... + 65726.
It is an arithmetic number, because the mean of its divisors is an integer number (32733127).
Almost surely, 21035397376 is an apocalyptic number.
1035397376 is a gapful number since it is divisible by the number (16) 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 1035397376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178392572).
1035397376 is an abundant number, since it is smaller than the sum of its proper divisors (1321387768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1035397376 is a wasteful number, since it uses less digits than its factorization.
1035397376 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18347 (or 18333 counting only the distinct ones).
The product of its (nonzero) digits is 357210, while the sum is 44.
The square root of 1035397376 is about 32177.5912087900. The cubic root of 1035397376 is about 1011.6625807779.
The spelling of 1035397376 in words is "one billion, thirty-five million, three hundred ninety-seven thousand, three hundred seventy-six".
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