Search a number
-
+
330343936 = 2913311601
BaseRepresentation
bin10011101100001…
…010011000000000
3212000121012200121
4103230022120000
51134032001221
652440230024
711120606566
oct2354123000
9760535617
10330343936
1115a51a31a
129276b314
13535934b0
1431c31a36
151e004a41
hex13b0a600

330343936 has 80 divisors (see below), whose sum is σ = 734203008. Its totient is φ = 147456000.

The previous prime is 330343933. The next prime is 330343939. The reversal of 330343936 is 639343033.

330343936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (330343933) and next prime (330343939).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330343933) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205536 + ... + 207136.

Almost surely, 2330343936 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 330343936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367101504).

330343936 is an abundant number, since it is smaller than the sum of its proper divisors (403859072).

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

330343936 is a wasteful number, since it uses less digits than its factorization.

330343936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 34.

The square root of 330343936 is about 18175.3661861323. The cubic root of 330343936 is about 691.2823147281.

Adding to 330343936 its reverse (639343033), we get a palindrome (969686969).

The spelling of 330343936 in words is "three hundred thirty million, three hundred forty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 512 806 832 992 1601 1612 1664 1984 3202 3224 3328 3968 6404 6448 6656 7936 12808 12896 15872 20813 25616 25792 41626 49631 51232 51584 83252 99262 102464 103168 166504 198524 204928 206336 333008 397048 409856 645203 666016 794096 819712 1290406 1332032 1588192 2580812 2664064 3176384 5161624 5328128 6352768 10323248 10656256 12705536 20646496 25411072 41292992 82585984 165171968 330343936