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3312434142 = 233712773119
BaseRepresentation
bin1100010101101111…
…1011101111011110
322112211221002102000
43011123323233132
523240440343032
61304404543130
7145041140253
oct30533735736
98484832360
103312434142
11144a867886
127853b1aa6
1340a346b04
14235cd542a
15145c0be7c
hexc56fbbde

3312434142 has 64 divisors (see below), whose sum is σ = 7493990400. Its totient is φ = 1084315680.

The previous prime is 3312434113. The next prime is 3312434159. The reversal of 3312434142 is 2414342133.

3312434142 is a `hidden beast` number, since 3 + 3 + 1 + 243 + 414 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1060459 + ... + 1063577.

It is an arithmetic number, because the mean of its divisors is an integer number (117093600).

Almost surely, 23312434142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3312434142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746995200).

3312434142 is an abundant number, since it is smaller than the sum of its proper divisors (4181556258).

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

3312434142 is a wasteful number, since it uses less digits than its factorization.

3312434142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3478 (or 3472 counting only the distinct ones).

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

The square root of 3312434142 is about 57553.7500255196. The cubic root of 3312434142 is about 1490.6731102861.

Adding to 3312434142 its reverse (2414342133), we get a palindrome (5726776275).

The spelling of 3312434142 in words is "three billion, three hundred twelve million, four hundred thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 71 142 213 277 426 554 639 831 1278 1662 1917 2493 3119 3834 4986 6238 7479 9357 14958 18714 19667 28071 39334 56142 59001 84213 118002 168426 177003 221449 354006 442898 531009 664347 863963 1062018 1328694 1727926 1993041 2591889 3986082 5183778 5979123 7775667 11958246 15551334 23327001 46654002 61341373 122682746 184024119 368048238 552072357 1104144714 1656217071 3312434142