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3324342112 = 257131767153
BaseRepresentation
bin1100011000100101…
…0110111101100000
322120200100002001221
43012021112331200
523302012421422
61305512104424
7145244304340
oct30611267540
98520302057
103324342112
111456560483
12789395114
1340c955c50
14237714d20
15146cb03c7
hexc6256f60

3324342112 has 96 divisors (see below), whose sum is σ = 8529095232. Its totient is φ = 1237745664.

The previous prime is 3324342103. The next prime is 3324342113. The reversal of 3324342112 is 2112434233.

It is a super-2 number, since 2×33243421122 = 22102500955233241088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3324342113) 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, 15928 + ... + 83080.

It is an arithmetic number, because the mean of its divisors is an integer number (88844742).

Almost surely, 23324342112 is an apocalyptic number.

3324342112 is a gapful number since it is divisible by the number (32) 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 3324342112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4264547616).

3324342112 is an abundant number, since it is smaller than the sum of its proper divisors (5204753120).

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

3324342112 is a wasteful number, since it uses less digits than its factorization.

3324342112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67200 (or 67192 counting only the distinct ones).

The product of its digits is 3456, while the sum is 25.

The square root of 3324342112 is about 57657.1080787096. The cubic root of 3324342112 is about 1492.4572626875.

Adding to 3324342112 its reverse (2112434233), we get a palindrome (5436776345).

The spelling of 3324342112 in words is "three billion, three hundred twenty-four million, three hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 68 91 104 112 119 136 182 208 221 224 238 272 364 416 442 476 544 728 884 952 1456 1547 1768 1904 2912 3094 3536 3808 6188 7072 12376 24752 49504 67153 134306 268612 470071 537224 872989 940142 1074448 1141601 1745978 1880284 2148896 2283202 3491956 3760568 4566404 6110923 6983912 7521136 7991207 9132808 12221846 13967824 14840813 15042272 15982414 18265616 24443692 27935648 29681626 31964828 36531232 48887384 59363252 63929656 97774768 103885691 118726504 127859312 195549536 207771382 237453008 255718624 415542764 474906016 831085528 1662171056 3324342112