Search a number
-
+
3430132140 = 2235237333391
BaseRepresentation
bin1100110001110011…
…1010100110101100
322212001101202201010
43030130322212230
524011103212030
61324211345220
7151000433151
oct31434724654
98761352633
103430132140
111500247056
127b88b2210
13428845cb6
142477b2228
1515120a6b0
hexcc73a9ac

3430132140 has 96 divisors (see below), whose sum is σ = 10038583296. Its totient is φ = 873480960.

The previous prime is 3430132133. The next prime is 3430132141. The reversal of 3430132140 is 412310343.

It is not an unprimeable number, because it can be changed into a prime (3430132141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1009845 + ... + 1013235.

It is an arithmetic number, because the mean of its divisors is an integer number (104568576).

Almost surely, 23430132140 is an apocalyptic number.

3430132140 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 3430132140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019291648).

3430132140 is an abundant number, since it is smaller than the sum of its proper divisors (6608451156).

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

3430132140 is a wasteful number, since it uses less digits than its factorization.

3430132140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4159 (or 4157 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3430132140 is about 58567.3299715806. The cubic root of 3430132140 is about 1508.1236492362.

Adding to 3430132140 its reverse (412310343), we get a palindrome (3842442483).

The spelling of 3430132140 in words is "three billion, four hundred thirty million, one hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 733 1380 1466 2199 2932 3391 3665 4398 6782 7330 8796 10173 10995 13564 14660 16859 16955 20346 21990 33718 33910 40692 43980 50577 50865 67436 67820 77993 84295 101154 101730 155986 168590 202308 203460 233979 252885 311972 337180 389965 467958 505770 779930 935916 1011540 1169895 1559860 2339790 2485603 4679580 4971206 7456809 9942412 12428015 14913618 24856030 29827236 37284045 49712060 57168869 74568090 114337738 149136180 171506607 228675476 285844345 343013214 571688690 686026428 857533035 1143377380 1715066070 3430132140