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3004420120 = 235137379147
BaseRepresentation
bin1011001100010011…
…1101000000011000
321202101100100121021
42303010331000120
522123112420440
61214043052224
7134311102222
oct26304750030
97671310537
103004420120
111301a0a339
126ba211074
1338b5a13b0
14207037412
15128b6884a
hexb313d018

3004420120 has 64 divisors (see below), whose sum is σ = 7379759520. Its totient is φ = 1094114304.

The previous prime is 3004420117. The next prime is 3004420123. The reversal of 3004420120 is 210244003.

It is an interprime number because it is at equal distance from previous prime (3004420117) and next prime (3004420123).

It is a junction number, because it is equal to n+sod(n) for n = 3004420094 and 3004420103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004420123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1614 + ... + 77533.

Almost surely, 23004420120 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 3004420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689879760).

3004420120 is an abundant number, since it is smaller than the sum of its proper divisors (4375339400).

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

3004420120 is a wasteful number, since it uses less digits than its factorization.

3004420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79244 (or 79240 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3004420120 is about 54812.5908893203. The cubic root of 3004420120 is about 1442.9575467356.

Adding to 3004420120 its reverse (210244003), we get a palindrome (3214664123).

The spelling of 3004420120 in words is "three billion, four million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 73 104 130 146 260 292 365 520 584 730 949 1460 1898 2920 3796 4745 7592 9490 18980 37960 79147 158294 316588 395735 633176 791470 1028911 1582940 2057822 3165880 4115644 5144555 5777731 8231288 10289110 11555462 20578220 23110924 28888655 41156440 46221848 57777310 75110503 115554620 150221006 231109240 300442012 375552515 600884024 751105030 1502210060 3004420120