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432904068 = 223323612857
BaseRepresentation
bin11001110011011…
…001011110000100
31010011120210202000
4121303121132010
51341310412233
6110542345300
713504423662
oct3163313604
91104523660
10432904068
112023aa263
12100b8b230
136b8c236c
14416cbc32
1528012d13
hex19cd9784

432904068 has 96 divisors (see below), whose sum is σ = 1190757120. Its totient is φ = 135717120.

The previous prime is 432904067. The next prime is 432904081. The reversal of 432904068 is 860409234.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (432904061) 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, 150096 + ... + 152952.

It is an arithmetic number, because the mean of its divisors is an integer number (12403720).

Almost surely, 2432904068 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 432904068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595378560).

432904068 is an abundant number, since it is smaller than the sum of its proper divisors (757853052).

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

432904068 is a wasteful number, since it uses less digits than its factorization.

432904068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 432904068 is about 20806.3468201412. The cubic root of 432904068 is about 756.4796024559.

The spelling of 432904068 in words is "four hundred thirty-two million, nine hundred four thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 61 69 92 108 122 138 183 207 244 276 366 414 549 621 732 828 1098 1242 1403 1647 2196 2484 2806 2857 3294 4209 5612 5714 6588 8418 8571 11428 12627 16836 17142 25254 25713 34284 37881 50508 51426 65711 75762 77139 102852 131422 151524 154278 174277 197133 262844 308556 348554 394266 522831 591399 697108 788532 1045662 1182798 1568493 1774197 2091324 2365596 3136986 3548394 4008371 4705479 6273972 7096788 8016742 9410958 12025113 16033484 18821916 24050226 36075339 48100452 72150678 108226017 144301356 216452034 432904068