Search a number
-
+
3432202432 = 262912714561
BaseRepresentation
bin1100110010010011…
…0100000011000000
322212012021221121121
43030210310003000
524012120434212
61324324002024
7151024145041
oct31444640300
98765257547
103432202432
11150143053a
127b9530314
134290bc419
14247b908c8
151514b8d07
hexcc9340c0

3432202432 has 56 divisors (see below), whose sum is σ = 7101596160. Its totient is φ = 1643765760.

The previous prime is 3432202387. The next prime is 3432202441. The reversal of 3432202432 is 2342022343.

It is a junction number, because it is equal to n+sod(n) for n = 3432202397 and 3432202406.

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 7 ways as a sum of consecutive naturals, for example, 228432 + ... + 242992.

Almost surely, 23432202432 is an apocalyptic number.

3432202432 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 3432202432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3550798080).

3432202432 is an abundant number, since it is smaller than the sum of its proper divisors (3669393728).

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

3432202432 is a wasteful number, since it uses less digits than its factorization.

3432202432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14729 (or 14719 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 3432202432 is about 58585.0017666638. The cubic root of 3432202432 is about 1508.4270027954.

Adding to 3432202432 its reverse (2342022343), we get a palindrome (5774224775).

The spelling of 3432202432 in words is "three billion, four hundred thirty-two million, two hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 127 232 254 464 508 928 1016 1856 2032 3683 4064 7366 8128 14561 14732 29122 29464 58244 58928 116488 117856 232976 235712 422269 465952 844538 931904 1689076 1849247 3378152 3698494 6756304 7396988 13512608 14793976 27025216 29587952 53628163 59175904 107256326 118351808 214512652 429025304 858050608 1716101216 3432202432