Search a number
-
+
3424801632 = 253729315669
BaseRepresentation
bin1100110000100010…
…0101001101100000
322211200100221121220
43030020211031200
524003222123012
61323501215040
7150604222260
oct31410451540
98750327556
103424801632
1114a823617a
127b6b61480
134276ca955
14246bc57a0
15150a0608c
hexcc225360

3424801632 has 192 divisors, whose sum is σ = 10973491200. Its totient is φ = 914135040.

The previous prime is 3424801619. The next prime is 3424801649. The reversal of 3424801632 is 2361084243.

It is a junction number, because it is equal to n+sod(n) for n = 3424801593 and 3424801602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601294 + ... + 606962.

It is an arithmetic number, because the mean of its divisors is an integer number (57153600).

Almost surely, 23424801632 is an apocalyptic number.

3424801632 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 3424801632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486745600).

3424801632 is an abundant number, since it is smaller than the sum of its proper divisors (7548689568).

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

3424801632 is a wasteful number, since it uses less digits than its factorization.

3424801632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5749 (or 5741 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 3424801632 is about 58521.8047568596. The cubic root of 3424801632 is about 1507.3420240443.

Adding to 3424801632 its reverse (2361084243), we get a palindrome (5785885875).

The spelling of 3424801632 in words is "three billion, four hundred twenty-four million, eight hundred one thousand, six hundred thirty-two".