Base | Representation |
---|---|
bin | 10100100000110… |
… | …011100111111000 |
3 | 212222120100100000 |
4 | 110200303213320 |
5 | 1201100110001 |
6 | 54052113000 |
7 | 11346115242 |
oct | 2440634770 |
9 | 788510300 |
10 | 344144376 |
11 | 167295844 |
12 | 97305760 |
13 | 563b5b34 |
14 | 339c5092 |
15 | 2032da86 |
hex | 148339f8 |
344144376 has 96 divisors (see below), whose sum is σ = 972316800. Its totient is φ = 114035040.
The previous prime is 344144369. The next prime is 344144389. The reversal of 344144376 is 673441443.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 344144376.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409765 + ... + 410603.
It is an arithmetic number, because the mean of its divisors is an integer number (10128300).
Almost surely, 2344144376 is an apocalyptic number.
344144376 is a gapful number since it is divisible by the number (36) 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 344144376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486158400).
344144376 is an abundant number, since it is smaller than the sum of its proper divisors (628172424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
344144376 is a wasteful number, since it uses less digits than its factorization.
344144376 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1071 (or 1055 counting only the distinct ones).
The product of its digits is 96768, while the sum is 36.
The square root of 344144376 is about 18551.1286988151. The cubic root of 344144376 is about 700.7776229016. Note that the first 3 decimals are identical.
The spelling of 344144376 in words is "three hundred forty-four million, one hundred forty-four thousand, three hundred seventy-six".
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