Search a number
-
+
15342032340 = 22335471494057
BaseRepresentation
bin11100100100111010…
…01101010111010100
31110121012201222212000
432102131031113110
5222410030013330
611014212555300
71052122060155
oct162235152724
943535658760
1015342032340
1165631a4a78
122b82022b30
1315a667275b
14a5781992c
155ebd77560
hex39274d5d4

15342032340 has 192 divisors, whose sum is σ = 49085568000. Its totient is φ = 3976307712.

The previous prime is 15342032297. The next prime is 15342032341. The reversal of 15342032340 is 4323024351.

15342032340 is a `hidden beast` number, since 1 + 5 + 3 + 420 + 3 + 234 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15342032341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3779592 + ... + 3783648.

It is an arithmetic number, because the mean of its divisors is an integer number (255654000).

Almost surely, 215342032340 is an apocalyptic number.

15342032340 is a gapful number since it is divisible by the number (10) 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 15342032340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24542784000).

15342032340 is an abundant number, since it is smaller than the sum of its proper divisors (33743535660).

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

15342032340 is a wasteful number, since it uses less digits than its factorization.

15342032340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 15342032340 its reverse (4323024351), we get a palindrome (19665056691).

The spelling of 15342032340 in words is "fifteen billion, three hundred forty-two million, thirty-two thousand, three hundred forty".