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630334200 = 233528591223
BaseRepresentation
bin100101100100100…
…010001011111000
31121221002021222010
4211210202023320
52242331143300
6142314125520
721422516016
oct4544421370
91557067863
10630334200
112a3897461
121571208a0
13a0789a22
145da018b6
153a510a50
hex259222f8

630334200 has 96 divisors (see below), whose sum is σ = 1957910400. Its totient is φ = 167756160.

The previous prime is 630334171. The next prime is 630334259. The reversal of 630334200 is 2433036.

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 23 ways as a sum of consecutive naturals, for example, 514789 + ... + 516011.

It is an arithmetic number, because the mean of its divisors is an integer number (20394900).

Almost surely, 2630334200 is an apocalyptic number.

630334200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630334200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978955200).

630334200 is an abundant number, since it is smaller than the sum of its proper divisors (1327576200).

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

630334200 is a wasteful number, since it uses less digits than its factorization.

630334200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 630334200 is about 25106.4573367092. The cubic root of 630334200 is about 857.4134471086.

Adding to 630334200 its reverse (2433036), we get a palindrome (632767236).

The spelling of 630334200 in words is "six hundred thirty million, three hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 859 1223 1718 2446 2577 3436 3669 4295 4892 5154 6115 6872 7338 8590 9784 10308 12230 12885 14676 17180 18345 20616 21475 24460 25770 29352 30575 34360 36690 42950 48920 51540 61150 64425 73380 85900 91725 103080 122300 128850 146760 171800 183450 244600 257700 366900 515400 733800 1050557 2101114 3151671 4202228 5252785 6303342 8404456 10505570 12606684 15758355 21011140 25213368 26263925 31516710 42022280 52527850 63033420 78791775 105055700 126066840 157583550 210111400 315167100 630334200