Search a number
-
+
3434112 = 273211271
BaseRepresentation
bin1101000110011010000000
320110110201100
431012122000
51334342422
6201334400
741121663
oct15063200
96413640
103434112
111a36110
121197400
13933126
146556da
1547c7ac
hex346680

3434112 has 96 divisors (see below), whose sum is σ = 10820160. Its totient is φ = 1036800.

The previous prime is 3434111. The next prime is 3434129. The reversal of 3434112 is 2114343.

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

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12537 + ... + 12807.

It is an arithmetic number, because the mean of its divisors is an integer number (112710).

Almost surely, 23434112 is an apocalyptic number.

3434112 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 3434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410080).

3434112 is an abundant number, since it is smaller than the sum of its proper divisors (7386048).

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

3434112 is a wasteful number, since it uses less digits than its factorization.

3434112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 287 counting only the distinct ones).

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

The square root of 3434112 is about 1853.1357208796. The cubic root of 3434112 is about 150.8706697827.

Adding to 3434112 its reverse (2114343), we get a palindrome (5548455).

The spelling of 3434112 in words is "three million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 271 288 352 384 396 528 542 576 704 792 813 1056 1084 1152 1408 1584 1626 2112 2168 2439 2981 3168 3252 4224 4336 4878 5962 6336 6504 8672 8943 9756 11924 12672 13008 17344 17886 19512 23848 26016 26829 34688 35772 39024 47696 52032 53658 71544 78048 95392 104064 107316 143088 156096 190784 214632 286176 312192 381568 429264 572352 858528 1144704 1717056 3434112