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306428200 = 235213196203
BaseRepresentation
bin10010010000111…
…011100100101000
3210100121011110121
4102100323210220
51111421200300
650223453024
710410411451
oct2220734450
9710534417
10306428200
11147a75051
1286757174
134b63b980
142c9a8128
151bd7d81a
hex1243b928

306428200 has 96 divisors (see below), whose sum is σ = 807760800. Its totient is φ = 107170560.

The previous prime is 306428197. The next prime is 306428201. The reversal of 306428200 is 2824603.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (306428201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46299 + ... + 52501.

It is an arithmetic number, because the mean of its divisors is an integer number (8414175).

Almost surely, 2306428200 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 306428200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403880400).

306428200 is an abundant number, since it is smaller than the sum of its proper divisors (501332600).

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

306428200 is a wasteful number, since it uses less digits than its factorization.

306428200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6251 (or 6242 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 306428200 is about 17505.0906881398. The cubic root of 306428200 is about 674.1805877578.

The spelling of 306428200 in words is "three hundred six million, four hundred twenty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 19 20 25 26 38 40 50 52 65 76 95 100 104 130 152 190 200 247 260 325 380 475 494 520 650 760 950 988 1235 1300 1900 1976 2470 2600 3800 4940 6175 6203 9880 12350 12406 24700 24812 31015 49400 49624 62030 80639 117857 124060 155075 161278 235714 248120 310150 322556 403195 471428 589285 620300 645112 806390 942856 1178570 1240600 1532141 1612780 2015975 2357140 2946425 3064282 3225560 4031950 4714280 5892850 6128564 7660705 8063900 11785700 12257128 15321410 16127800 23571400 30642820 38303525 61285640 76607050 153214100 306428200