Search a number
-
+
1342445200 = 24528593907
BaseRepresentation
bin101000000000100…
…0001011010010000
310110120001021121121
41100001001122100
510222131221300
6341113132024
745160411255
oct12001013220
93416037547
101342445200
11629858a48
123156ba014
13185179795
14ca40d42c
157ccc681a
hex50041690

1342445200 has 60 divisors (see below), whose sum is σ = 3229805680. Its totient is φ = 536215680.

The previous prime is 1342445189. The next prime is 1342445201. The reversal of 1342445200 is 25442431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1342445201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 341647 + ... + 345553.

Almost surely, 21342445200 is an apocalyptic number.

1342445200 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 1342445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614902840).

1342445200 is an abundant number, since it is smaller than the sum of its proper divisors (1887360480).

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

1342445200 is a wasteful number, since it uses less digits than its factorization.

1342445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4784 (or 4773 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 1342445200 is about 36639.3940997937. The cubic root of 1342445200 is about 1103.1439532411.

Adding to 1342445200 its reverse (25442431), we get a palindrome (1367887631).

The spelling of 1342445200 in words is "one billion, three hundred forty-two million, four hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 859 1718 3436 3907 4295 6872 7814 8590 13744 15628 17180 19535 21475 31256 34360 39070 42950 62512 68720 78140 85900 97675 156280 171800 195350 312560 343600 390700 781400 1562800 3356113 6712226 13424452 16780565 26848904 33561130 53697808 67122260 83902825 134244520 167805650 268489040 335611300 671222600 1342445200