Search a number
-
+
3342601440 = 2532519711783
BaseRepresentation
bin1100011100111100…
…0000110011100000
322121221200202011100
43013033000303200
523321201221230
61311403314400
7145555433463
oct30717006340
98557622140
103342601440
1114658a1a32
1279351ba00
13413679c99
14239d092da
151486ba660
hexc73c0ce0

3342601440 has 144 divisors (see below), whose sum is σ = 11465502048. Its totient is φ = 886760448.

The previous prime is 3342601439. The next prime is 3342601441. The reversal of 3342601440 is 441062433.

It is an interprime number because it is at equal distance from previous prime (3342601439) and next prime (3342601441).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33426014402 = 22345968773380147200, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3342601441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277789 + ... + 289571.

It is an arithmetic number, because the mean of its divisors is an integer number (79621542).

Almost surely, 23342601440 is an apocalyptic number.

3342601440 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 3342601440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5732751024).

3342601440 is an abundant number, since it is smaller than the sum of its proper divisors (8122900608).

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

3342601440 is a wasteful number, since it uses less digits than its factorization.

3342601440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12001 (or 11990 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3342601440 is about 57815.2353623160. The cubic root of 3342601440 is about 1495.1847722616.

Adding to 3342601440 its reverse (441062433), we get a palindrome (3783663873).

The spelling of 3342601440 in words is "three billion, three hundred forty-two million, six hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 197 240 288 360 394 480 591 720 788 985 1182 1440 1576 1773 1970 2364 2955 3152 3546 3940 4728 5910 6304 7092 7880 8865 9456 11783 11820 14184 15760 17730 18912 23566 23640 28368 31520 35349 35460 47132 47280 56736 58915 70698 70920 94264 94560 106047 117830 141396 141840 176745 188528 212094 235660 282792 283680 353490 377056 424188 471320 530235 565584 706980 848376 942640 1060470 1131168 1413960 1696752 1885280 2120940 2321251 2827920 3393504 4241880 4642502 5655840 6963753 8483760 9285004 11606255 13927506 16967520 18570008 20891259 23212510 27855012 34818765 37140016 41782518 46425020 55710024 69637530 74280032 83565036 92850040 104456295 111420048 139275060 167130072 185700080 208912590 222840096 278550120 334260144 371400160 417825180 557100240 668520288 835650360 1114200480 1671300720 3342601440