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3999306240 = 29325237547
BaseRepresentation
bin1110111001100000…
…1001001000000000
3101022201101210210100
43232120021020000
531142310244430
61500503002400
7201051353646
oct35630111000
911281353710
103999306240
11177255aa76
12937439400
134b973a9c7
1429d213196
15186189960
hexee609200

3999306240 has 240 divisors, whose sum is σ = 14454842688. Its totient is φ = 1019977728.

The previous prime is 3999306239. The next prime is 3999306251. The reversal of 3999306240 is 426039993.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526147 + ... + 533693.

Almost surely, 23999306240 is an apocalyptic number.

3999306240 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 3999306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7227421344).

3999306240 is an abundant number, since it is smaller than the sum of its proper divisors (10455536448).

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

3999306240 is a wasteful number, since it uses less digits than its factorization.

3999306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7599 (or 7580 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 3999306240 is about 63240.0683111586. The cubic root of 3999306240 is about 1587.3092737158.

The spelling of 3999306240 in words is "three billion, nine hundred ninety-nine million, three hundred six thousand, two hundred forty".