Search a number
-
+
3340352 = 26194167
BaseRepresentation
bin1100101111100001000000
320021201002202
430233201000
51323342402
6155332332
740251431
oct14574100
96251082
103340352
111981724
1211510a8
138cc552
1462d488
1545eb02
hex32f840

3340352 has 56 divisors (see below), whose sum is σ = 7254240. Its totient is φ = 1520640.

The previous prime is 3340349. The next prime is 3340367. The reversal of 3340352 is 2530433.

It is a super-2 number, since 2×33403522 = 22315902967808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49823 + ... + 49889.

It is an arithmetic number, because the mean of its divisors is an integer number (129540).

Almost surely, 23340352 is an apocalyptic number.

3340352 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 3340352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3627120).

3340352 is an abundant number, since it is smaller than the sum of its proper divisors (3913888).

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

3340352 is a wasteful number, since it uses less digits than its factorization.

3340352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 3340352 is about 1827.6629886278. The cubic root of 3340352 is about 149.4849296711.

Adding to 3340352 its reverse (2530433), we get a palindrome (5870785).

The spelling of 3340352 in words is "three million, three hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 41 64 67 76 82 134 152 164 268 304 328 536 608 656 779 1072 1216 1273 1312 1558 2144 2546 2624 2747 3116 4288 5092 5494 6232 10184 10988 12464 20368 21976 24928 40736 43952 49856 52193 81472 87904 104386 175808 208772 417544 835088 1670176 3340352