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3004340020 = 2251116781773
BaseRepresentation
bin1011001100010010…
…1001011100110100
321202101012021201121
42303010221130310
522123102340040
61214041233324
7134310316543
oct26304513464
97671167647
103004340020
111301965140
126ba192844
1338b573ab6
1420701615a
15128b4ec4a
hexb3129734

3004340020 has 48 divisors (see below), whose sum is σ = 6923968128. Its totient is φ = 1085932160.

The previous prime is 3004339991. The next prime is 3004340047. The reversal of 3004340020 is 200434003.

It is a junction number, because it is equal to n+sod(n) for n = 3004339976 and 3004340003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4147 + ... + 77626.

It is an arithmetic number, because the mean of its divisors is an integer number (144249336).

Almost surely, 23004340020 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 3004340020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461984064).

3004340020 is an abundant number, since it is smaller than the sum of its proper divisors (3919628108).

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

3004340020 is a wasteful number, since it uses less digits than its factorization.

3004340020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81960 (or 81958 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 3004340020 is about 54811.8602129138. The cubic root of 3004340020 is about 1442.9447231932.

Adding to 3004340020 its reverse (200434003), we get a palindrome (3204774023).

The spelling of 3004340020 in words is "three billion, four million, three hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 167 220 334 668 835 1670 1837 3340 3674 7348 9185 18370 36740 81773 163546 327092 408865 817730 899503 1635460 1799006 3598012 4497515 8995030 13656091 17990060 27312182 54624364 68280455 136560910 150217001 273121820 300434002 600868004 751085005 1502170010 3004340020