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204321104 = 241337139191
BaseRepresentation
bin11000010110110…
…11000101010000
3112020110120212022
430023123011100
5404301233404
632135151012
75030462231
oct1413330520
9466416768
10204321104
11a5374519
1258515468
133343b080
141d1c9088
1512e0e8be
hexc2db150

204321104 has 80 divisors (see below), whose sum is σ = 443304960. Its totient is φ = 90616320.

The previous prime is 204321077. The next prime is 204321109. The reversal of 204321104 is 401123402.

It is a super-2 number, since 2×2043211042 = 83494227079557632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204321109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1069649 + ... + 1069839.

It is an arithmetic number, because the mean of its divisors is an integer number (5541312).

Almost surely, 2204321104 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 204321104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221652480).

204321104 is an abundant number, since it is smaller than the sum of its proper divisors (238983856).

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

204321104 is a wasteful number, since it uses less digits than its factorization.

204321104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 204321104 is about 14294.0933255663. The cubic root of 204321104 is about 588.9852364226.

Adding to 204321104 its reverse (401123402), we get a palindrome (605444506).

The spelling of 204321104 in words is "two hundred four million, three hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 139 148 191 208 278 296 382 481 556 592 764 962 1112 1528 1807 1924 2224 2483 3056 3614 3848 4966 5143 7067 7228 7696 9932 10286 14134 14456 19864 20572 26549 28268 28912 39728 41144 53098 56536 66859 82288 91871 106196 113072 133718 183742 212392 267436 345137 367484 424784 534872 690274 734968 982313 1069744 1380548 1469936 1964626 2761096 3929252 5522192 7858504 12770069 15717008 25540138 51080276 102160552 204321104