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3334142432 = 25731579091
BaseRepresentation
bin1100011010111010…
…1111100111100000
322121100202222120202
43012232233213200
523312020024212
61310502124332
7145423512605
oct30656574740
98540688522
103334142432
111461044615
127907206a8
134119a795a
14238b466ac
15147a990c2
hexc6baf9e0

3334142432 has 48 divisors (see below), whose sum is σ = 6697130832. Its totient is φ = 1633582080.

The previous prime is 3334142429. The next prime is 3334142437. The reversal of 3334142432 is 2342414333.

It is a super-3 number, since 3×33341424323 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3334142395 and 3334142404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3334142437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 362207 + ... + 371297.

It is an arithmetic number, because the mean of its divisors is an integer number (139523559).

Almost surely, 23334142432 is an apocalyptic number.

3334142432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3334142432 is an abundant number, since it is smaller than the sum of its proper divisors (3362988400).

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

3334142432 is a wasteful number, since it uses less digits than its factorization.

3334142432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9331 (or 9323 counting only the distinct ones).

The product of its digits is 20736, while the sum is 29.

The square root of 3334142432 is about 57742.0334938076. The cubic root of 3334142432 is about 1493.9224356948.

Adding to 3334142432 its reverse (2342414333), we get a palindrome (5676556765).

The spelling of 3334142432 in words is "three billion, three hundred thirty-four million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 73 146 157 292 314 584 628 1168 1256 2336 2512 5024 9091 11461 18182 22922 36364 45844 72728 91688 145456 183376 290912 366752 663643 1327286 1427287 2654572 2854574 5309144 5709148 10618288 11418296 21236576 22836592 45673184 104191951 208383902 416767804 833535608 1667071216 3334142432