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3004334300 = 22521110925057
BaseRepresentation
bin1011001100010010…
…1000000011011100
321202101011222212202
42303010220003130
522123102144200
61214041151032
7134310264062
oct26304500334
97671158782
103004334300
111301960910
126ba18b478
1338b571306
14207014032
15128b4d1d5
hexb31280dc

3004334300 has 72 divisors (see below), whose sum is σ = 7177613520. Its totient is φ = 1082419200.

The previous prime is 3004334297. The next prime is 3004334303. The reversal of 3004334300 is 34334003.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3004334297) and next prime (3004334303).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004334303) 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 23 ways as a sum of consecutive naturals, for example, 107372 + ... + 132428.

Almost surely, 23004334300 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 3004334300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588806760).

3004334300 is an abundant number, since it is smaller than the sum of its proper divisors (4173279220).

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

3004334300 is a wasteful number, since it uses less digits than its factorization.

3004334300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25191 (or 25184 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 3004334300 is about 54811.8080344008. The cubic root of 3004334300 is about 1442.9438074458.

Adding to 3004334300 its reverse (34334003), we get a palindrome (3038668303).

The spelling of 3004334300 in words is "three billion, four million, three hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 109 110 218 220 275 436 545 550 1090 1100 1199 2180 2398 2725 4796 5450 5995 10900 11990 23980 25057 29975 50114 59950 100228 119900 125285 250570 275627 501140 551254 626425 1102508 1252850 1378135 2505700 2731213 2756270 5462426 5512540 6890675 10924852 13656065 13781350 27312130 27562700 30043343 54624260 60086686 68280325 120173372 136560650 150216715 273121300 300433430 600866860 751083575 1502167150 3004334300