Search a number
-
+
3454913344 = 261034011307
BaseRepresentation
bin1100110111101101…
…1100101101000000
322220210000210010111
43031323130231000
524033424211334
61330454441104
7151421164441
oct31573345500
98823023114
103454913344
111513232593
12805063194
13430a1172c
1424abc32c8
151534a3064
hexcdedcb40

3454913344 has 56 divisors (see below), whose sum is σ = 6944977728. Its totient is φ = 1705113600.

The previous prime is 3454913323. The next prime is 3454913381. The reversal of 3454913344 is 4433194543.

It is a junction number, because it is equal to n+sod(n) for n = 3454913297 and 3454913306.

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 7 ways as a sum of consecutive naturals, for example, 2642739 + ... + 2644045.

Almost surely, 23454913344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3454913344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472488864).

3454913344 is an abundant number, since it is smaller than the sum of its proper divisors (3490064384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3454913344 is a wasteful number, since it uses less digits than its factorization.

3454913344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1813 counting only the distinct ones).

The product of its digits is 311040, while the sum is 40.

The square root of 3454913344 is about 58778.5109032204. The cubic root of 3454913344 is about 1511.7467825258.

The spelling of 3454913344 in words is "three billion, four hundred fifty-four million, nine hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 103 206 401 412 802 824 1307 1604 1648 2614 3208 3296 5228 6416 6592 10456 12832 20912 25664 41303 41824 82606 83648 134621 165212 269242 330424 524107 538484 660848 1048214 1076968 1321696 2096428 2153936 2643392 4192856 4307872 8385712 8615744 16771424 33542848 53983021 107966042 215932084 431864168 863728336 1727456672 3454913344