Search a number
-
+
34113024 = 293211673
BaseRepresentation
bin1000001000100…
…0011000000000
32101012010021100
42002020120000
532213104044
63215054400
7562645611
oct202103000
971163240
1034113024
111828a690
12b511400
1370b512a
14475dc08
152edc869
hex2088600

34113024 has 120 divisors (see below), whose sum is σ = 107562312. Its totient is φ = 10321920.

The previous prime is 34113007. The next prime is 34113029. The reversal of 34113024 is 42031143.

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

It is a junction number, because it is equal to n+sod(n) for n = 34112988 and 34113006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34113029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50352 + ... + 51024.

Almost surely, 234113024 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 34113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53781156).

34113024 is an abundant number, since it is smaller than the sum of its proper divisors (73449288).

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

34113024 is a wasteful number, since it uses less digits than its factorization.

34113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 689 counting only the distinct ones).

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

The square root of 34113024 is about 5840.6355818524. The cubic root of 34113024 is about 324.3197574852.

Adding to 34113024 its reverse (42031143), we get a palindrome (76144167).

The spelling of 34113024 in words is "thirty-four million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 673 704 768 792 1056 1152 1346 1408 1536 1584 2019 2112 2304 2692 2816 3168 4038 4224 4608 5384 5632 6057 6336 7403 8076 8448 10768 12114 12672 14806 16152 16896 21536 22209 24228 25344 29612 32304 43072 44418 48456 50688 59224 64608 66627 86144 88836 96912 118448 129216 133254 172288 177672 193824 236896 258432 266508 344576 355344 387648 473792 516864 533016 710688 775296 947584 1033728 1066032 1421376 1550592 1895168 2132064 2842752 3101184 3790336 4264128 5685504 8528256 11371008 17056512 34113024