Base | Representation |
---|---|
bin | 11111111001000101… |
… | …110110101101000000 |
3 | 10021101111210221022210 |
4 | 133321011312231000 |
5 | 1030112410121030 |
6 | 23421552102120 |
7 | 2321410526523 |
oct | 377105665500 |
9 | 107344727283 |
10 | 34243832640 |
11 | 13582829336 |
12 | 6778234940 |
13 | 32c9679c84 |
14 | 192bd10bba |
15 | d564b5bb0 |
hex | 7f9176b40 |
34243832640 has 112 divisors (see below), whose sum is σ = 108947102400. Its totient is φ = 9112965120.
The previous prime is 34243832611. The next prime is 34243832641. The reversal of 34243832640 is 4623834243.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34243832641) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435036 + ... + 507684.
Almost surely, 234243832640 is an apocalyptic number.
34243832640 is a gapful number since it is divisible by the number (30) 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 34243832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54473551200).
34243832640 is an abundant number, since it is smaller than the sum of its proper divisors (74703269760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34243832640 is a wasteful number, since it uses less digits than its factorization.
34243832640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 73160 (or 73150 counting only the distinct ones).
The product of its (nonzero) digits is 331776, while the sum is 39.
The spelling of 34243832640 in words is "thirty-four billion, two hundred forty-three million, eight hundred thirty-two thousand, six hundred forty".
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