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204073344 = 27313
BaseRepresentation
bin11000010100111…
…10100110000000
3112020000000000000
430022132212000
5404220321334
632130000000
75025411006
oct1412364600
9466000000
10204073344
11a5215362
1258416000
1333382377
141d162a76
1512db1299
hexc29e980

204073344 has 112 divisors (see below), whose sum is σ = 609828420. Its totient is φ = 68024448.

The previous prime is 204073343. The next prime is 204073349. The reversal of 204073344 is 443370402.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an ABA number since it can be written as A⋅BA, here for A=6, B=18.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204073343) 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 13 ways as a sum of consecutive naturals, for example, 68024447 + 68024448 + 68024449.

Almost surely, 2204073344 is an apocalyptic number.

204073344 is a gapful number since it is divisible by the number (24) 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 204073344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304914210).

204073344 is an abundant number, since it is smaller than the sum of its proper divisors (405755076).

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

204073344 is an frugal number, since it uses more digits than its factorization.

204073344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 204073344 is about 14285.4241799115. The cubic root of 204073344 is about 588.7470720776.

The spelling of 204073344 in words is "two hundred four million, seventy-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2187 2592 2916 3456 3888 4374 5184 5832 6561 7776 8748 10368 11664 13122 15552 17496 19683 23328 26244 31104 34992 39366 46656 52488 59049 69984 78732 93312 104976 118098 139968 157464 177147 209952 236196 279936 314928 354294 419904 472392 531441 629856 708588 839808 944784 1062882 1259712 1417176 1594323 1889568 2125764 2519424 2834352 3188646 3779136 4251528 5668704 6377292 7558272 8503056 11337408 12754584 17006112 22674816 25509168 34012224 51018336 68024448 102036672 204073344