Search a number
-
+
995342400 = 263252132409
BaseRepresentation
bin111011010100111…
…011100001000000
32120100220122002100
4323110323201000
54014301424100
6242433350400
733444161613
oct7324734100
92510818070
10995342400
11470932528
12239408400
1312b299200
149629817a
155c5b1400
hex3b53b840

995342400 has 378 divisors, whose sum is σ = 3840110430. Its totient is φ = 244408320.

The previous prime is 995342399. The next prime is 995342407. The reversal of 995342400 is 4243599.

It can be written as a sum of positive squares in 9 ways, for example, as 394896384 + 600446016 = 19872^2 + 24504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (995342407) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2433396 + ... + 2433804.

Almost surely, 2995342400 is an apocalyptic number.

995342400 is a gapful number since it is divisible by the number (90) 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 995342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920055215).

995342400 is an abundant number, since it is smaller than the sum of its proper divisors (2844768030).

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

995342400 is a wasteful number, since it uses less digits than its factorization.

995342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 995342400 is about 31549.0475292044. The cubic root of 995342400 is about 998.4450500505.

Adding to 995342400 its reverse (4243599), we get a palindrome (999585999).

The spelling of 995342400 in words is "nine hundred ninety-five million, three hundred forty-two thousand, four hundred".