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3141432 = 2332723271
BaseRepresentation
bin1011111110111100111000
312220121020100
423332330320
51301011212
6151155400
735462460
oct13767470
95817210
103141432
111856228
121075b60
1385cb48
145baba0
15420bdc
hex2fef38

3141432 has 96 divisors (see below), whose sum is σ = 10183680. Its totient is φ = 855360.

The previous prime is 3141431. The next prime is 3141443. The reversal of 3141432 is 2341413.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141431) 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, 11457 + ... + 11727.

It is an arithmetic number, because the mean of its divisors is an integer number (106080).

Almost surely, 23141432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5091840).

3141432 is an abundant number, since it is smaller than the sum of its proper divisors (7042248).

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

3141432 is a wasteful number, since it uses less digits than its factorization.

3141432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 306 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 3141432 is about 1772.4085307852. The cubic root of 3141432 is about 146.4566921885.

Adding to 3141432 its reverse (2341413), we get a palindrome (5482845).

The spelling of 3141432 in words is "three million, one hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 271 276 322 414 483 504 542 552 644 813 828 966 1084 1288 1449 1626 1656 1897 1932 2168 2439 2898 3252 3794 3864 4878 5691 5796 6233 6504 7588 9756 11382 11592 12466 15176 17073 18699 19512 22764 24932 34146 37398 43631 45528 49864 56097 68292 74796 87262 112194 130893 136584 149592 174524 224388 261786 349048 392679 448776 523572 785358 1047144 1570716 3141432