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204342240 = 2535425713
BaseRepresentation
bin11000010111000…
…00001111100000
3112020111122212010
430023200033200
5404302422430
632135432520
75030610654
oct1413401740
9466448763
10204342240
11a5389393
1258525740
133344788b
141d1d2a64
1512e15cb0
hexc2e03e0

204342240 has 48 divisors (see below), whose sum is σ = 643679568. Its totient is φ = 54491136.

The previous prime is 204342233. The next prime is 204342247. The reversal of 204342240 is 42243402.

It is an interprime number because it is at equal distance from previous prime (204342233) and next prime (204342247).

It is a tau number, because it is divible by the number of its divisors (48).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204342247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212377 + ... + 213336.

It is an arithmetic number, because the mean of its divisors is an integer number (13409991).

Almost surely, 2204342240 is an apocalyptic number.

204342240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204342240 is an abundant number, since it is smaller than the sum of its proper divisors (439337328).

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

204342240 is a wasteful number, since it uses less digits than its factorization.

204342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425731 (or 425723 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 204342240 is about 14294.8326328083. The cubic root of 204342240 is about 589.0055449182.

Adding to 204342240 its reverse (42243402), we get a palindrome (246585642).

The spelling of 204342240 in words is "two hundred four million, three hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 425713 851426 1277139 1702852 2128565 2554278 3405704 4257130 5108556 6385695 6811408 8514260 10217112 12771390 13622816 17028520 20434224 25542780 34057040 40868448 51085560 68114080 102171120 204342240