Search a number
-
+
323252330928 = 243101641104021
BaseRepresentation
bin1001011010000110101…
…01110010000110110000
31010220101000021211021220
410231003111302012300
520244010044042203
6404300003145040
732232331322532
oct4550325620660
91126330254256
10323252330928
111150aa57171a
1252794675180
13246372683c7
1411907355852
15861dc13653
hex4b435721b0

323252330928 has 80 divisors (see below), whose sum is σ = 844660304352. Its totient is φ = 106516480000.

The previous prime is 323252330917. The next prime is 323252330941. The reversal of 323252330928 is 829033252323.

It is a self number, because there is not a number n which added to its sum of digits gives 323252330928.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3055558 + ... + 3159578.

Almost surely, 2323252330928 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 323252330928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422330152176).

323252330928 is an abundant number, since it is smaller than the sum of its proper divisors (521407973424).

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

323252330928 is a wasteful number, since it uses less digits than its factorization.

323252330928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104774 (or 104768 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 323252330928 in words is "three hundred twenty-three billion, two hundred fifty-two million, three hundred thirty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 641 808 1212 1282 1616 1923 2424 2564 3846 4848 5128 7692 10256 15384 30768 64741 104021 129482 194223 208042 258964 312063 388446 416084 517928 624126 776892 832168 1035856 1248252 1553784 1664336 2496504 3107568 4993008 10506121 21012242 31518363 42024484 63036726 66677461 84048968 126073452 133354922 168097936 200032383 252146904 266709844 400064766 504293808 533419688 800129532 1066839376 1600259064 3200518128 6734423561 13468847122 20203270683 26937694244 40406541366 53875388488 80813082732 107750776976 161626165464 323252330928