Search a number
-
+
3232768 = 21071141
BaseRepresentation
bin1100010101010000000000
320002020112011
430111100000
51311422033
6153142304
736322660
oct14252000
96066464
103232768
111908910
1210ba994
138925a6
146021a0
1543cccd
hex315400

3232768 has 88 divisors (see below), whose sum is σ = 8253504. Its totient is φ = 1228800.

The previous prime is 3232753. The next prime is 3232769. The reversal of 3232768 is 8672323.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3232769) 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, 78828 + ... + 78868.

Almost surely, 23232768 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 3232768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126752).

3232768 is an abundant number, since it is smaller than the sum of its proper divisors (5020736).

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

3232768 is a wasteful number, since it uses less digits than its factorization.

3232768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 61 counting only the distinct ones).

The product of its digits is 12096, while the sum is 31.

The square root of 3232768 is about 1797.9899888487. The cubic root of 3232768 is about 147.8625458641.

It can be divided in two parts, 32 and 32768, that multiplied together give a 20-th power (1048576 = 220).

The spelling of 3232768 in words is "three million, two hundred thirty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 41 44 56 64 77 82 88 112 128 154 164 176 224 256 287 308 328 352 448 451 512 574 616 656 704 896 902 1024 1148 1232 1312 1408 1792 1804 2296 2464 2624 2816 3157 3584 3608 4592 4928 5248 5632 6314 7168 7216 9184 9856 10496 11264 12628 14432 18368 19712 20992 25256 28864 36736 39424 41984 50512 57728 73472 78848 101024 115456 146944 202048 230912 293888 404096 461824 808192 1616384 3232768