Search a number
-
+
331450326 = 233171931613
BaseRepresentation
bin10011110000011…
…000011111010110
3212002200102101000
4103300120133112
51134322402301
652520044130
711133165324
oct2360303726
9762612330
10331450326
11160105599
1293003646
135388cc6c
143203cd14
151e172786
hex13c187d6

331450326 has 128 divisors (see below), whose sum is σ = 848793600. Its totient is φ = 95178240.

The previous prime is 331450283. The next prime is 331450331. The reversal of 331450326 is 623054133.

It is a happy number.

331450326 is a `hidden beast` number, since 331 + 4 + 5 + 0 + 326 = 666.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 331450326.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 540396 + ... + 541008.

It is an arithmetic number, because the mean of its divisors is an integer number (6631200).

Almost surely, 2331450326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331450326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424396800).

331450326 is an abundant number, since it is smaller than the sum of its proper divisors (517343274).

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

331450326 is a wasteful number, since it uses less digits than its factorization.

331450326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 331450326 is about 18205.7772698668. Note that the first 3 decimals coincide. The cubic root of 331450326 is about 692.0532037791.

It can be divided in two parts, 331450 and 326, that added together give a 4-th power (331776 = 244).

The spelling of 331450326 in words is "three hundred thirty-one million, four hundred fifty thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 19 27 31 34 38 51 54 57 62 93 102 114 153 171 186 279 306 323 342 459 513 527 558 589 613 646 837 918 969 1026 1054 1178 1226 1581 1674 1767 1839 1938 2907 3162 3534 3678 4743 5301 5517 5814 8721 9486 10013 10421 10602 11034 11647 14229 15903 16551 17442 19003 20026 20842 23294 28458 30039 31263 31806 33102 34941 38006 57009 60078 62526 69882 90117 93789 104823 114018 171027 180234 187578 197999 209646 270351 281367 314469 323051 342054 361057 395998 513081 540702 562734 593997 628938 646102 722114 969153 1026162 1083171 1187994 1781991 1938306 2166342 2907459 3249513 3563982 5345973 5814918 6137969 6499026 8722377 9748539 10691946 12275938 17444754 18413907 19497078 36827814 55241721 110483442 165725163 331450326