Base | Representation |
---|---|
bin | 10100100011001… |
… | …101011011000100 |
3 | 220000202100111000 |
4 | 110203031123010 |
5 | 1201230234330 |
6 | 54113413300 |
7 | 11354351001 |
oct | 2443153304 |
9 | 800670430 |
10 | 344774340 |
11 | 167686079 |
12 | 9756a230 |
13 | 565767b1 |
14 | 33b0a8a8 |
15 | 20405560 |
hex | 148cd6c4 |
344774340 has 96 divisors (see below), whose sum is σ = 1079487360. Its totient is φ = 91352448.
The previous prime is 344774329. The next prime is 344774363. The reversal of 344774340 is 43477443.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 344774295 and 344774304.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86062 + ... + 89978.
It is an arithmetic number, because the mean of its divisors is an integer number (11244660).
Almost surely, 2344774340 is an apocalyptic number.
344774340 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 344774340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539743680).
344774340 is an abundant number, since it is smaller than the sum of its proper divisors (734713020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
344774340 is a wasteful number, since it uses less digits than its factorization.
344774340 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4098 (or 4090 counting only the distinct ones).
The product of its (nonzero) digits is 112896, while the sum is 36.
The square root of 344774340 is about 18568.1000643577. The cubic root of 344774340 is about 701.2049586444.
The spelling of 344774340 in words is "three hundred forty-four million, seven hundred seventy-four thousand, three hundred forty".
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