Search a number
-
+
204688944 = 2434433673
BaseRepresentation
bin11000011001101…
…00111000110000
3112021011021110000
430030310320300
5404400021234
632151110000
75033553525
oct1414647060
9467137400
10204688944
11a55a5919
1258672300
1333539625
141d28314c
1512e83899
hexc334e30

204688944 has 100 divisors (see below), whose sum is σ = 606371656. Its totient is φ = 66624768.

The previous prime is 204688927. The next prime is 204688949. The reversal of 204688944 is 449886402.

It is a self number, because there is not a number n which added to its sum of digits gives 204688944.

It is not an unprimeable number, because it can be changed into a prime (204688949) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53892 + ... + 57564.

Almost surely, 2204688944 is an apocalyptic number.

204688944 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 204688944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303185828).

204688944 is an abundant number, since it is smaller than the sum of its proper divisors (401682712).

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

204688944 is a wasteful number, since it uses less digits than its factorization.

204688944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 204688944 is about 14306.9543928818. The cubic root of 204688944 is about 589.3384752571.

The spelling of 204688944 in words is "two hundred four million, six hundred eighty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 81 86 108 129 144 162 172 216 258 324 344 387 432 516 648 688 774 1032 1161 1296 1548 2064 2322 3096 3483 3673 4644 6192 6966 7346 9288 11019 13932 14692 18576 22038 27864 29384 33057 44076 55728 58768 66114 88152 99171 132228 157939 176304 198342 264456 297513 315878 396684 473817 528912 595026 631756 793368 947634 1190052 1263512 1421451 1586736 1895268 2380104 2527024 2842902 3790536 4264353 4760208 5685804 7581072 8528706 11371608 12793059 17057412 22743216 25586118 34114824 51172236 68229648 102344472 204688944