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2429300 = 2252171429
BaseRepresentation
bin1001010001000101110100
311120102101002
421101011310
51110214200
6124022432
726435336
oct11210564
94512332
102429300
11140a195
12991a18
13670973
14473456
1532ebd5
hex251174

2429300 has 36 divisors (see below), whose sum is σ = 5585580. Its totient is φ = 913920.

The previous prime is 2429299. The next prime is 2429311. The reversal of 2429300 is 39242.

It can be written as a sum of positive squares in 6 ways, for example, as 155236 + 2274064 = 394^2 + 1508^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 986 + ... + 2414.

It is an arithmetic number, because the mean of its divisors is an integer number (155155).

22429300 is an apocalyptic number.

2429300 is a gapful number since it is divisible by the number (20) 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 2429300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792790).

2429300 is an abundant number, since it is smaller than the sum of its proper divisors (3156280).

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

2429300 is a wasteful number, since it uses less digits than its factorization.

2429300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2429300 is about 1558.6211855355. The cubic root of 2429300 is about 134.4292317605.

The spelling of 2429300 in words is "two million, four hundred twenty-nine thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1429 1700 2858 5716 7145 14290 24293 28580 35725 48586 71450 97172 121465 142900 242930 485860 607325 1214650 2429300