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3004010240 = 285711291051
BaseRepresentation
bin1011001100001101…
…1000111100000000
321202100120112100112
42303003120330000
522123011311430
61214030210452
7134304444230
oct26303307400
97670515315
103004010240
11130175a3a0
126ba053a28
1338b48996a
14206d6bcc0
15128ad7195
hexb30d8f00

3004010240 has 288 divisors, whose sum is σ = 9289244160. Its totient is φ = 903168000.

The previous prime is 3004010239. The next prime is 3004010287. The reversal of 3004010240 is 420104003.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 2857715 + ... + 2858765.

It is an arithmetic number, because the mean of its divisors is an integer number (32254320).

Almost surely, 23004010240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644622080).

3004010240 is an abundant number, since it is smaller than the sum of its proper divisors (6285233920).

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

3004010240 is a wasteful number, since it uses less digits than its factorization.

3004010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 3004010240 is about 54808.8518398260. The cubic root of 3004010240 is about 1442.8919249391.

Adding to 3004010240 its reverse (420104003), we get a palindrome (3424114243).

The spelling of 3004010240 in words is "three billion, four million, ten thousand, two hundred forty".