Search a number
-
+
940818240 = 2636537109
BaseRepresentation
bin111000000100111…
…011111101000000
32102120022112000000
4320010323331000
53411322140430
6233205000000
732212552215
oct7004737500
92376275000
10940818240
1144308173a
122230b3000
1311cbb87ab
148cd43b0c
15578e0e60
hex3813bf40

940818240 has 392 divisors, whose sum is σ = 3481379880. Its totient is φ = 241864704.

The previous prime is 940818227. The next prime is 940818247. The reversal of 940818240 is 42818049.

940818240 is a `hidden beast` number, since 9 + 408 + 1 + 8 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 345067776 + 595750464 = 18576^2 + 24408^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 940818195 and 940818204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (940818247) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8631306 + ... + 8631414.

Almost surely, 2940818240 is an apocalyptic number.

940818240 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 940818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740689940).

940818240 is an abundant number, since it is smaller than the sum of its proper divisors (2540561640).

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

940818240 is a wasteful number, since it uses less digits than its factorization.

940818240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 940818240 is about 30672.7605539508. The cubic root of 940818240 is about 979.8702590983.

The spelling of 940818240 in words is "nine hundred forty million, eight hundred eighteen thousand, two hundred forty".