Search a number
-
+
3256132320 = 253257246147
BaseRepresentation
bin1100001000010100…
…1010001011100000
322101220222122211100
43002011022023200
523132032213240
61255034114400
7143455445100
oct30205121340
98356878740
103256132320
111421002451
1276a57ba00
133cb79321c
1422c63b200
15140cd9e30
hexc214a2e0

3256132320 has 216 divisors, whose sum is σ = 12925962504. Its totient is φ = 744242688.

The previous prime is 3256132307. The next prime is 3256132339. The reversal of 3256132320 is 232316523.

3256132320 is a `hidden beast` number, since 3 + 2 + 5 + 613 + 23 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47487 + ... + 93633.

It is an arithmetic number, because the mean of its divisors is an integer number (59842419).

Almost surely, 23256132320 is an apocalyptic number.

3256132320 is a gapful number since it is divisible by the number (30) 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 3256132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6462981252).

3256132320 is an abundant number, since it is smaller than the sum of its proper divisors (9669830184).

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

3256132320 is a wasteful number, since it uses less digits than its factorization.

3256132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46182 (or 46164 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3256132320 is about 57062.5299123689. The cubic root of 3256132320 is about 1482.1790885436.

Adding to 3256132320 its reverse (232316523), we get a palindrome (3488448843).

The spelling of 3256132320 in words is "three billion, two hundred fifty-six million, one hundred thirty-two thousand, three hundred twenty".