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204434210344 = 237132359206939
BaseRepresentation
bin1011111001100100111…
…0100111111000101000
3201112200101000220120011
42332121032213320220
511322140124212334
6233525450341304
720525033054650
oct2763116477050
9645611026504
10204434210344
1179777867051
123375472a834
131637cb9c690
149c74d83360
1554b78b9564
hex2f993a7e28

204434210344 has 128 divisors (see below), whose sum is σ = 500629248000. Its totient is φ = 76047231744.

The previous prime is 204434210287. The next prime is 204434210347. The reversal of 204434210344 is 443012434402.

It is not an unprimeable number, because it can be changed into a prime (204434210347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 884427 + ... + 1091365.

It is an arithmetic number, because the mean of its divisors is an integer number (3911166000).

Almost surely, 2204434210344 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 204434210344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250314624000).

204434210344 is an abundant number, since it is smaller than the sum of its proper divisors (296195037656).

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

204434210344 is a wasteful number, since it uses less digits than its factorization.

204434210344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207047 (or 207043 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 204434210344 its reverse (443012434402), we get a palindrome (647446644746).

The spelling of 204434210344 in words is "two hundred four billion, four hundred thirty-four million, two hundred ten thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 52 56 59 91 92 104 118 161 182 184 236 299 322 364 413 472 598 644 728 767 826 1196 1288 1357 1534 1652 2093 2392 2714 3068 3304 4186 5369 5428 6136 8372 9499 10738 10856 16744 17641 18998 21476 35282 37996 42952 70564 75992 123487 141128 206939 246974 413878 493948 827756 987896 1448573 1655512 2690207 2897146 4759597 5380414 5794292 9519194 10760828 11588584 12209401 18831449 19038388 21521656 24418802 33317179 37662898 38076776 48837604 61874761 66634358 75325796 85465807 97675208 123749522 133268716 150651592 158722213 170931614 247499044 266537432 280816223 317444426 341863228 433123327 494998088 561632446 634888852 683726456 866246654 1111055491 1123264892 1269777704 1732493308 1965713561 2222110982 2246529784 3464986616 3650610899 3931427122 4444221964 7301221798 7862854244 8888443928 14602443596 15725708488 25554276293 29204887192 51108552586 102217105172 204434210344