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323116144 = 2413172329137
BaseRepresentation
bin10011010000100…
…101110001110000
3211112000000000121
4103100211301300
51130204204034
652021300024
711002304401
oct2320456160
9745000017
10323116144
11156432a3a
1290264614
1351c326b0
1430cad9a8
151d5781b4
hex13425c70

323116144 has 160 divisors (see below), whose sum is σ = 776200320. Its totient is φ = 128679936.

The previous prime is 323116133. The next prime is 323116151. The reversal of 323116144 is 441611323.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2358444 + ... + 2358580.

It is an arithmetic number, because the mean of its divisors is an integer number (4851252).

Almost surely, 2323116144 is an apocalyptic number.

323116144 is a gapful number since it is divisible by the number (34) 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 323116144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388100160).

323116144 is an abundant number, since it is smaller than the sum of its proper divisors (453084176).

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

323116144 is a wasteful number, since it uses less digits than its factorization.

323116144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 323116144 is about 17975.4316777094. The cubic root of 323116144 is about 686.2034319757.

Adding to 323116144 its reverse (441611323), we get a palindrome (764727467).

The spelling of 323116144 in words is "three hundred twenty-three million, one hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 17 23 26 29 34 46 52 58 68 92 104 116 136 137 184 208 221 232 272 274 299 368 377 391 442 464 493 548 598 667 754 782 884 986 1096 1196 1334 1508 1564 1768 1781 1972 2192 2329 2392 2668 3016 3128 3151 3536 3562 3944 3973 4658 4784 5083 5336 6032 6256 6302 6409 7124 7888 7946 8671 9316 10166 10672 11339 12604 12818 14248 15892 17342 18632 20332 22678 25208 25636 28496 30277 31784 34684 37264 40664 40963 45356 50416 51272 51649 53567 60554 63568 67541 69368 81328 81926 90712 91379 102544 103298 107134 121108 135082 138736 147407 163852 181424 182758 206596 214268 242216 270164 294814 327704 365516 413192 428536 484432 540328 589628 655408 696371 731032 826384 857072 878033 1080656 1179256 1187927 1392742 1462064 1553443 1756066 2358512 2375854 2785484 3106886 3512132 4751708 5570968 6213772 7024264 9503416 11141936 12427544 14048528 19006832 20194759 24855088 40389518 80779036 161558072 323116144