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3907242240 = 283511233397
BaseRepresentation
bin1110100011100011…
…1100100100000000
3101002022011110201120
43220320330210000
531000223222430
61443413432240
7165553003536
oct35070744400
911068143646
103907242240
111725599a20
1291063b680
134a3645475
14290cca156
1517d051610
hexe8e3c900

3907242240 has 288 divisors, whose sum is σ = 13706050176. Its totient is φ = 940769280.

The previous prime is 3907242223. The next prime is 3907242259. The reversal of 3907242240 is 422427093.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9841722 + ... + 9842118.

It is an arithmetic number, because the mean of its divisors is an integer number (47590452).

Almost surely, 23907242240 is an apocalyptic number.

3907242240 is a gapful number since it is divisible by the number (30) 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 3907242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6853025088).

3907242240 is an abundant number, since it is smaller than the sum of its proper divisors (9798807936).

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

3907242240 is a wasteful number, since it uses less digits than its factorization.

3907242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 3907242240 is about 62507.9374159794. The cubic root of 3907242240 is about 1575.0346497794.

The spelling of 3907242240 in words is "three billion, nine hundred seven million, two hundred forty-two thousand, two hundred forty".