Search a number
-
+
3332132240 = 245711733391
BaseRepresentation
bin1100011010011100…
…0100110110010000
322121012222212010012
43012213010312100
523311011212430
61310351054052
7145400441153
oct30647046620
98535885105
103332132240
11145a9a12a8
1278bb11328
134114529a8
14238781c9a
151477ed695
hexc69c4d90

3332132240 has 80 divisors (see below), whose sum is σ = 7904065536. Its totient is φ = 1306099200.

The previous prime is 3332132189. The next prime is 3332132249. The reversal of 3332132240 is 422312333.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33321322402 = 22206210529694835200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3332132249) 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, 980945 + ... + 984335.

Almost surely, 23332132240 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 3332132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952032768).

3332132240 is an abundant number, since it is smaller than the sum of its proper divisors (4571933296).

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

3332132240 is a wasteful number, since it uses less digits than its factorization.

3332132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3648 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 3332132240 is about 57724.6242083913. The cubic root of 3332132240 is about 1493.6221411193.

Adding to 3332132240 its reverse (422312333), we get a palindrome (3754444573).

The spelling of 3332132240 in words is "three billion, three hundred thirty-two million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 173 284 346 355 568 692 710 865 1136 1384 1420 1730 2768 2840 3391 3460 5680 6782 6920 12283 13564 13840 16955 24566 27128 33910 49132 54256 61415 67820 98264 122830 135640 196528 240761 245660 271280 481522 491320 586643 963044 982640 1173286 1203805 1926088 2346572 2407610 2933215 3852176 4693144 4815220 5866430 9386288 9630440 11732860 19260880 23465720 41651653 46931440 83303306 166606612 208258265 333213224 416516530 666426448 833033060 1666066120 3332132240