Search a number
-
+
1040434200 = 2333521314821
BaseRepresentation
bin111110000000111…
…100010000011000
32200111202112102000
4332000330100120
54112322343300
6251124041000
734532354601
oct7600742030
92614675360
101040434200
11494330683
12250533160
13137726550
149c274da8
156151bc00
hex3e03c418

1040434200 has 192 divisors, whose sum is σ = 3859648800. Its totient is φ = 256089600.

The previous prime is 1040434181. The next prime is 1040434201. The reversal of 1040434200 is 24340401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040434201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62790 + ... + 77610.

Almost surely, 21040434200 is an apocalyptic number.

1040434200 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 1040434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929824400).

1040434200 is an abundant number, since it is smaller than the sum of its proper divisors (2819214600).

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

1040434200 is a wasteful number, since it uses less digits than its factorization.

1040434200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14859 (or 14844 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1040434200 is about 32255.7622759097. The cubic root of 1040434200 is about 1013.3003822195.

Adding to 1040434200 its reverse (24340401), we get a palindrome (1064774601).

The spelling of 1040434200 in words is "one billion, forty million, four hundred thirty-four thousand, two hundred".