Search a number
-
+
1342432104 = 2331327115877
BaseRepresentation
bin101000000000011…
…1110001101101000
310110120000121122120
41100000332031220
510222130311404
6341112551240
745160325136
oct12000761550
93416017576
101342432104
1162984a122
123156b2520
13185173830
14ca408756
157ccc29d9
hex5003e368

1342432104 has 64 divisors (see below), whose sum is σ = 3627805440. Its totient is φ = 411505920.

The previous prime is 1342432103. The next prime is 1342432141. The reversal of 1342432104 is 4012342431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1342432103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76614 + ... + 92490.

It is an arithmetic number, because the mean of its divisors is an integer number (56684460).

Almost surely, 21342432104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342432104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813902720).

1342432104 is an abundant number, since it is smaller than the sum of its proper divisors (2285373336).

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

1342432104 is a wasteful number, since it uses less digits than its factorization.

1342432104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16170 (or 16166 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1342432104 is about 36639.2153846122. The cubic root of 1342432104 is about 1103.1403660506.

Adding to 1342432104 its reverse (4012342431), we get a palindrome (5354774535).

The spelling of 1342432104 in words is "one billion, three hundred forty-two million, four hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 271 312 542 813 1084 1626 2168 3252 3523 6504 7046 10569 14092 15877 21138 28184 31754 42276 47631 63508 84552 95262 127016 190524 206401 381048 412802 619203 825604 1238406 1651208 2476812 4302667 4953624 8605334 12908001 17210668 25816002 34421336 51632004 55934671 103264008 111869342 167804013 223738684 335608026 447477368 671216052 1342432104