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34143300 = 22325259643
BaseRepresentation
bin1000001000111…
…1110001000100
32101020122210200
42002033301010
532220041200
63215450500
7563133102
oct202176104
971218720
1034143300
1118300404
12b526a30
1370c5b49
14476ac72
152ee6800
hex208fc44

34143300 has 108 divisors (see below), whose sum is σ = 109003440. Its totient is φ = 8936640.

The previous prime is 34143299. The next prime is 34143377. The reversal of 34143300 is 334143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52779 + ... + 53421.

Almost surely, 234143300 is an apocalyptic number.

34143300 is a gapful number since it is divisible by the number (30) 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 34143300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54501720).

34143300 is an abundant number, since it is smaller than the sum of its proper divisors (74860140).

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

34143300 is a wasteful number, since it uses less digits than its factorization.

34143300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 34143300 is about 5843.2268482406. The cubic root of 34143300 is about 324.4156758997.

Adding to 34143300 its reverse (334143), we get a palindrome (34477443).

It can be divided in two parts, 34143 and 300, that added together give a palindrome (34443).

The spelling of 34143300 in words is "thirty-four million, one hundred forty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 59 60 75 90 100 118 150 177 180 225 236 295 300 354 450 531 590 643 708 885 900 1062 1180 1286 1475 1770 1929 2124 2572 2655 2950 3215 3540 3858 4425 5310 5787 5900 6430 7716 8850 9645 10620 11574 12860 13275 16075 17700 19290 23148 26550 28935 32150 37937 38580 48225 53100 57870 64300 75874 96450 113811 115740 144675 151748 189685 192900 227622 289350 341433 379370 455244 569055 578700 682866 758740 948425 1138110 1365732 1707165 1896850 2276220 2845275 3414330 3793700 5690550 6828660 8535825 11381100 17071650 34143300