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1242340416 = 26351737127
BaseRepresentation
bin100101000001100…
…1001110001000000
310012120200102200000
41022003021301000
510021014343131
6323135400000
742533501502
oct11203116100
93176612600
101242340416
115882a5819
122a8083000
1316a4ca395
14badd1d72
1574100ce6
hex4a0c9c40

1242340416 has 336 divisors, whose sum is σ = 4047353856. Its totient is φ = 376233984.

The previous prime is 1242340387. The next prime is 1242340427. The reversal of 1242340416 is 6140432421.

It is a happy number.

1242340416 is a `hidden beast` number, since 1 + 242 + 3 + 4 + 0 + 416 = 666.

It is a super-3 number, since 3×12423404163 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1242340416.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9782145 + ... + 9782271.

It is an arithmetic number, because the mean of its divisors is an integer number (12045696).

Almost surely, 21242340416 is an apocalyptic number.

1242340416 is a gapful number since it is divisible by the number (16) 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 1242340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023676928).

1242340416 is an abundant number, since it is smaller than the sum of its proper divisors (2805013440).

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

1242340416 is a wasteful number, since it uses less digits than its factorization.

1242340416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 186 counting only the distinct ones).

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

The square root of 1242340416 is about 35246.8497315718. The cubic root of 1242340416 is about 1075.0125590024.

Adding to 1242340416 its reverse (6140432421), we get a palindrome (7382772837).

The spelling of 1242340416 in words is "one billion, two hundred forty-two million, three hundred forty thousand, four hundred sixteen".