Search a number
-
+
334435024 = 24711353769
BaseRepresentation
bin10011111011110…
…001001011010000
3212022022001121101
4103323301023100
51141103410044
653104034144
711200436140
oct2373611320
9768261541
10334435024
11161863a90
1294002954
1354396661
14325b8920
151e561cd4
hex13ef12d0

334435024 has 80 divisors (see below), whose sum is σ = 811198080. Its totient is φ = 129761280.

The previous prime is 334435021. The next prime is 334435043. The reversal of 334435024 is 420534433.

It is a super-2 number, since 2×3344350242 = 223693570555761152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 334434983 and 334435001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334435021) 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, 434512 + ... + 435280.

It is an arithmetic number, because the mean of its divisors is an integer number (10139976).

Almost surely, 2334435024 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 334435024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405599040).

334435024 is an abundant number, since it is smaller than the sum of its proper divisors (476763056).

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

334435024 is a wasteful number, since it uses less digits than its factorization.

334435024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

The square root of 334435024 is about 18287.5647367275. The cubic root of 334435024 is about 694.1243039890.

Adding to 334435024 its reverse (420534433), we get a palindrome (754969457).

The spelling of 334435024 in words is "three hundred thirty-four million, four hundred thirty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 353 616 706 769 1232 1412 1538 2471 2824 3076 3883 4942 5383 5648 6152 7766 8459 9884 10766 12304 15532 16918 19768 21532 27181 31064 33836 39536 43064 54362 59213 62128 67672 86128 108724 118426 135344 217448 236852 271457 434896 473704 542914 947408 1085828 1900199 2171656 2986027 3800398 4343312 5972054 7600796 11944108 15201592 20902189 23888216 30403184 41804378 47776432 83608756 167217512 334435024