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3001235004 = 223417951749
BaseRepresentation
bin1011001011100011…
…0011011000111100
321202011100112110000
42302320303120330
522121304010004
61213450514300
7134242035165
oct26270633074
97664315400
103001235004
111300134309
126b9135990
1338aa27701
1420684876c
15128739c39
hexb2e3363c

3001235004 has 60 divisors (see below), whose sum is σ = 7889805000. Its totient is φ = 994803552.

The previous prime is 3001234993. The next prime is 3001235059. The reversal of 3001235004 is 4005321003.

3001235004 is a `hidden beast` number, since 300 + 12 + 350 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32122 + ... + 83870.

It is an arithmetic number, because the mean of its divisors is an integer number (131496750).

Almost surely, 23001235004 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 3001235004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3944902500).

3001235004 is an abundant number, since it is smaller than the sum of its proper divisors (4888569996).

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

3001235004 is a wasteful number, since it uses less digits than its factorization.

3001235004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51944 (or 51933 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3001235004 is about 54783.5285829600. The cubic root of 3001235004 is about 1442.4474524880.

Adding to 3001235004 its reverse (4005321003), we get a palindrome (7006556007).

The spelling of 3001235004 in words is "three billion, one million, two hundred thirty-five thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 179 324 358 537 716 1074 1611 2148 3222 4833 6444 9666 14499 19332 28998 51749 57996 103498 155247 206996 310494 465741 620988 931482 1397223 1862964 2794446 4191669 5588892 8383338 9263071 16766676 18526142 27789213 37052284 55578426 83367639 111156852 166735278 250102917 333470556 500205834 750308751 1000411668 1500617502 3001235004