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323433013312 = 2629434638753
BaseRepresentation
bin1001011010011100001…
…11000010000001000000
31010220211121021102221001
410231032013002001000
520244342322411222
6404325535541344
732236654152403
oct4551607020100
91126747242831
10323433013312
11115192560002
125282508a854
132466581aa66
1411923349d3a
15862ea03e27
hex4b4e1c2040

323433013312 has 112 divisors (see below), whose sum is σ = 680929539840. Its totient is φ = 152162131968.

The previous prime is 323433013297. The next prime is 323433013333. The reversal of 323433013312 is 213310334323.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36946728 + ... + 36955480.

Almost surely, 2323433013312 is an apocalyptic number.

323433013312 is a gapful number since it is divisible by the number (32) 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 323433013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340464769920).

323433013312 is an abundant number, since it is smaller than the sum of its proper divisors (357496526528).

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

323433013312 is a wasteful number, since it uses less digits than its factorization.

323433013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9300 (or 9290 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 323433013312 its reverse (213310334323), we get a palindrome (536743347635).

The spelling of 323433013312 in words is "three hundred twenty-three billion, four hundred thirty-three million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 43 58 64 86 116 172 232 344 463 464 688 926 928 1247 1376 1852 1856 2494 2752 3704 4988 7408 8753 9976 13427 14816 17506 19909 19952 26854 29632 35012 39818 39904 53708 70024 79636 79808 107416 140048 159272 214832 253837 280096 318544 376379 429664 507674 560192 577361 637088 752758 859328 1015348 1154722 1274176 1505516 2030696 2309444 3011032 4052639 4061392 4618888 6022064 8105278 8122784 9237776 10914991 12044128 16210556 16245568 18475552 21829982 24088256 32421112 36951104 43659964 64842224 87319928 117526531 129684448 174263477 174639856 235053062 259368896 348526954 349279712 470106124 697053908 698559424 940212248 1394107816 1880424496 2788215632 3760848992 5053640833 5576431264 7521697984 10107281666 11152862528 20214563332 40429126664 80858253328 161716506656 323433013312