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450328230 = 232511617457
BaseRepresentation
bin11010110101110…
…111011010100110
31011101101001012100
4122311313122212
51410241000410
6112404032530
714105504202
oct3265673246
91141331170
10450328230
112112202a0
12106992746
13723b3211
1443b45b02
15298058c0
hex1ad776a6

450328230 has 96 divisors (see below), whose sum is σ = 1298407968. Its totient is φ = 107366400.

The previous prime is 450328217. The next prime is 450328231. The reversal of 450328230 is 32823054.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 450328194 and 450328203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450328231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56662 + ... + 64118.

It is an arithmetic number, because the mean of its divisors is an integer number (13525083).

Almost surely, 2450328230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450328230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649203984).

450328230 is an abundant number, since it is smaller than the sum of its proper divisors (848079738).

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

450328230 is a wasteful number, since it uses less digits than its factorization.

450328230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7542 (or 7539 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 450328230 is about 21220.9384806610. The cubic root of 450328230 is about 766.4957024791.

The spelling of 450328230 in words is "four hundred fifty million, three hundred twenty-eight thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 61 66 90 99 110 122 165 183 198 305 330 366 495 549 610 671 915 990 1098 1342 1830 2013 2745 3355 4026 5490 6039 6710 7457 10065 12078 14914 20130 22371 30195 37285 44742 60390 67113 74570 82027 111855 134226 164054 223710 246081 335565 410135 454877 492162 671130 738243 820270 909754 1230405 1364631 1476486 2274385 2460810 2729262 3691215 4093893 4548770 5003647 6823155 7382430 8187786 10007294 13646310 15010941 20469465 25018235 30021882 40938930 45032823 50036470 75054705 90065646 150109410 225164115 450328230