Search a number
-
+
3469961616 = 2431138317159
BaseRepresentation
bin1100111011010011…
…0110100110010000
322221211100022110220
43032310312212100
524101302232431
61332153153040
7151663121112
oct31664664620
98854308426
103469961616
111520780580
1280a0bb780
13433b80034
1424cbbd3b2
15154976b96
hexced36990

3469961616 has 80 divisors (see below), whose sum is σ = 9805086720. Its totient is φ = 1048696960.

The previous prime is 3469961611. The next prime is 3469961623. The reversal of 3469961616 is 6161699643.

3469961616 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3469961611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193645 + ... + 210803.

It is an arithmetic number, because the mean of its divisors is an integer number (122563584).

Almost surely, 23469961616 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 3469961616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4902543360).

3469961616 is an abundant number, since it is smaller than the sum of its proper divisors (6335125104).

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

3469961616 is a wasteful number, since it uses less digits than its factorization.

3469961616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17564 (or 17558 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 51.

The square root of 3469961616 is about 58906.3800958776. The cubic root of 3469961616 is about 1513.9384658209.

The spelling of 3469961616 in words is "three billion, four hundred sixty-nine million, nine hundred sixty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 383 528 766 1149 1532 2298 3064 4213 4596 6128 8426 9192 12639 16852 17159 18384 25278 33704 34318 50556 51477 67408 68636 101112 102954 137272 188749 202224 205908 274544 377498 411816 566247 754996 823632 1132494 1509992 2264988 3019984 4529976 6571897 9059952 13143794 19715691 26287588 39431382 52575176 72290867 78862764 105150352 144581734 157725528 216872601 289163468 315451056 433745202 578326936 867490404 1156653872 1734980808 3469961616