Search a number
-
+
3433142112 = 253177328817
BaseRepresentation
bin1100110010100001…
…1001011101100000
322212021001200121120
43030220121131200
524012341021422
61324400052240
7151035140451
oct31450313540
98767050546
103433142112
111501a12534
127b9904080
1342935b04a
14247d57128
1515160245c
hexcca19760

3433142112 has 96 divisors (see below), whose sum is σ = 9673165152. Its totient is φ = 1062273024.

The previous prime is 3433142087. The next prime is 3433142113. The reversal of 3433142112 is 2112413343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×34331421122 = 23572929522375641088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (3433142113) 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, 104728 + ... + 133544.

It is an arithmetic number, because the mean of its divisors is an integer number (100762137).

Almost surely, 23433142112 is an apocalyptic number.

3433142112 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 3433142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836582576).

3433142112 is an abundant number, since it is smaller than the sum of its proper divisors (6240023040).

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

3433142112 is a wasteful number, since it uses less digits than its factorization.

3433142112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28920 (or 28912 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 3433142112 is about 58593.0210178653. The cubic root of 3433142112 is about 1508.5646509846.

Adding to 3433142112 its reverse (2112413343), we get a palindrome (5545555455).

The spelling of 3433142112 in words is "three billion, four hundred thirty-three million, one hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 73 96 102 136 146 204 219 272 292 408 438 544 584 816 876 1168 1241 1632 1752 2336 2482 3504 3723 4964 7008 7446 9928 14892 19856 28817 29784 39712 57634 59568 86451 115268 119136 172902 230536 345804 461072 489889 691608 922144 979778 1383216 1469667 1959556 2103641 2766432 2939334 3919112 4207282 5878668 6310923 7838224 8414564 11757336 12621846 15676448 16829128 23514672 25243692 33658256 35761897 47029344 50487384 67316512 71523794 100974768 107285691 143047588 201949536 214571382 286095176 429142764 572190352 858285528 1144380704 1716571056 3433142112