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1342353200 = 24527345971
BaseRepresentation
bin101000000000010…
…1010111100110000
310110112212121102012
41100000222330300
510222120300300
6341111142052
745156546116
oct12000527460
93415777365
101342353200
116297a5911
12315674928
13185146946
14ca3c7ab6
157cca9435
hex5002af30

1342353200 has 60 divisors (see below), whose sum is σ = 3269252808. Its totient is φ = 529574400.

The previous prime is 1342353197. The next prime is 1342353217. The reversal of 1342353200 is 23532431.

It is a super-2 number, since 2×13423532002 = 3603824227100480000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 6215 + ... + 52185.

Almost surely, 21342353200 is an apocalyptic number.

1342353200 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 1342353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634626404).

1342353200 is an abundant number, since it is smaller than the sum of its proper divisors (1926899608).

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

1342353200 is a wasteful number, since it uses less digits than its factorization.

1342353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46062 (or 46051 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 1342353200 is about 36638.1385990064. The cubic root of 1342353200 is about 1103.1187525694.

Adding to 1342353200 its reverse (23532431), we get a palindrome (1365885631).

The spelling of 1342353200 in words is "one billion, three hundred forty-two million, three hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 146 200 292 365 400 584 730 1168 1460 1825 2920 3650 5840 7300 14600 29200 45971 91942 183884 229855 367768 459710 735536 919420 1149275 1838840 2298550 3355883 3677680 4597100 6711766 9194200 13423532 16779415 18388400 26847064 33558830 53694128 67117660 83897075 134235320 167794150 268470640 335588300 671176600 1342353200