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940494240 = 25345721481
BaseRepresentation
bin111000000011101…
…100110110100000
32102112201001120000
4320003230312200
53411231303430
6233154020000
732210032500
oct7003546640
92375631500
10940494240
11442980274
12222b77600
1311cb0418a
148cc9ba00
1557879e60
hex380ecda0

940494240 has 360 divisors, whose sum is σ = 3863671812. Its totient is φ = 214824960.

The previous prime is 940494227. The next prime is 940494241. The reversal of 940494240 is 42494049.

It is a happy number.

940494240 is a `hidden beast` number, since 9 + 404 + 9 + 4 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 929762064 + 10732176 = 30492^2 + 3276^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 = 940494195 and 940494204.

It is not an unprimeable number, because it can be changed into a prime (940494241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 634300 + ... + 635780.

Almost surely, 2940494240 is an apocalyptic number.

940494240 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 940494240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931835906).

940494240 is an abundant number, since it is smaller than the sum of its proper divisors (2923177572).

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

940494240 is a wasteful number, since it uses less digits than its factorization.

940494240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 940494240 is about 30667.4785399778. The cubic root of 940494240 is about 979.7577632580.

It can be divided in two parts, 94049 and 4240, that added together give a palindrome (98289).

The spelling of 940494240 in words is "nine hundred forty million, four hundred ninety-four thousand, two hundred forty".