Search a number
-
+
1342238400 = 263252175483
BaseRepresentation
bin101000000000000…
…1110111011000000
310110112122202221100
41100000032323000
510222103112100
6341104454400
745155560326
oct12000167300
93415582840
101342238400
11629727638
1231561a400
13185106609
14ca397d16
157cc85400
hex5000eec0

1342238400 has 252 divisors, whose sum is σ = 5052178872. Its totient is φ = 336814080.

The previous prime is 1342238363. The next prime is 1342238419. The reversal of 1342238400 is 48322431.

1342238400 is a `hidden beast` number, since 1 + 34 + 223 + 8 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 242059 + ... + 247541.

Almost surely, 21342238400 is an apocalyptic number.

1342238400 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 1342238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526089436).

1342238400 is an abundant number, since it is smaller than the sum of its proper divisors (3709940472).

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

1342238400 is a wasteful number, since it uses less digits than its factorization.

1342238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5528 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1342238400 is about 36636.5718920316. The cubic root of 1342238400 is about 1103.0873048990.

The spelling of 1342238400 in words is "one billion, three hundred forty-two million, two hundred thirty-eight thousand, four hundred".