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204344320 = 2105107373
BaseRepresentation
bin11000010111000…
…00110000000000
3112020111202201011
430023200300000
5404303004240
632135450304
75030620015
oct1413406000
9466452634
10204344320
11a538aa04
1258526994
13334487cb
141d1d370c
1512e166ea
hexc2e0c00

204344320 has 88 divisors (see below), whose sum is σ = 496094544. Its totient is φ = 80756736.

The previous prime is 204344279. The next prime is 204344333. The reversal of 204344320 is 23443402.

It is a super-2 number, since 2×2043443202 = 83513202232524800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 204344291 and 204344300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 547654 + ... + 548026.

It is an arithmetic number, because the mean of its divisors is an integer number (5637438).

Almost surely, 2204344320 is an apocalyptic number.

204344320 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 204344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248047272).

204344320 is an abundant number, since it is smaller than the sum of its proper divisors (291750224).

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

204344320 is a wasteful number, since it uses less digits than its factorization.

204344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 204344320 is about 14294.9053861857. The cubic root of 204344320 is about 589.0075434075.

Adding to 204344320 its reverse (23443402), we get a palindrome (227787722).

The spelling of 204344320 in words is "two hundred four million, three hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 128 160 214 256 320 373 428 512 535 640 746 856 1024 1070 1280 1492 1712 1865 2140 2560 2984 3424 3730 4280 5120 5968 6848 7460 8560 11936 13696 14920 17120 23872 27392 29840 34240 39911 47744 54784 59680 68480 79822 95488 109568 119360 136960 159644 190976 199555 238720 273920 319288 381952 399110 477440 547840 638576 798220 954880 1277152 1596440 1909760 2554304 3192880 5108608 6385760 10217216 12771520 20434432 25543040 40868864 51086080 102172160 204344320