Search a number
-
+
3432096 = 253217701
BaseRepresentation
bin1101000101111010100000
320110100221200
431011322200
51334311341
6201321200
741113053
oct15057240
96410850
103432096
111a34648
121196200
13932235
14654a9a
1547bdb6
hex345ea0

3432096 has 72 divisors (see below), whose sum is σ = 10348884. Its totient is φ = 1075200.

The previous prime is 3432073. The next prime is 3432097. The reversal of 3432096 is 6902343.

It can be written as a sum of positive squares in 2 ways, for example, as 3027600 + 404496 = 1740^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3432097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4546 + ... + 5246.

Almost surely, 23432096 is an apocalyptic number.

3432096 is a gapful number since it is divisible by the number (36) 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 3432096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5174442).

3432096 is an abundant number, since it is smaller than the sum of its proper divisors (6916788).

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

3432096 is a wasteful number, since it uses less digits than its factorization.

3432096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3432096 is about 1852.5916981353. The cubic root of 3432096 is about 150.8411410615.

The spelling of 3432096 in words is "three million, four hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 701 816 1224 1402 1632 2103 2448 2804 4206 4896 5608 6309 8412 11216 11917 12618 16824 22432 23834 25236 33648 35751 47668 50472 67296 71502 95336 100944 107253 143004 190672 201888 214506 286008 381344 429012 572016 858024 1144032 1716048 3432096