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4342050240 = 2635111719267
BaseRepresentation
bin1000000101100111…
…00110110111000000
3102012121100000011120
410002303212313000
532343031101430
61554505112240
7212412550413
oct40263466700
912177300146
104342050240
111928a79680
12a12188680
135427532c8
142d2951b7a
151a62dd610
hex102ce6dc0

4342050240 has 672 divisors, whose sum is σ = 17056998144. Its totient is φ = 924549120.

The previous prime is 4342050203. The next prime is 4342050253. The reversal of 4342050240 is 420502434.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4342050240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64806687 + ... + 64806753.

Almost surely, 24342050240 is an apocalyptic number.

4342050240 is a gapful number since it is divisible by the number (40) 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 4342050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8528499072).

4342050240 is an abundant number, since it is smaller than the sum of its proper divisors (12714947904).

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

4342050240 is a wasteful number, since it uses less digits than its factorization.

4342050240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 4342050240 is about 65894.2352562043. The cubic root of 4342050240 is about 1631.4168668277.

Adding to 4342050240 its reverse (420502434), we get a palindrome (4762552674).

The spelling of 4342050240 in words is "four billion, three hundred forty-two million, fifty thousand, two hundred forty".