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323013020 = 2251129197257
BaseRepresentation
bin10011010000001…
…100100110011100
3211111210202120012
4103100030212130
51130142404040
652015142352
711001364631
oct2320144634
9744722505
10323013020
11156372510
12902149b8
1351bc7785
1430c84188
151d557865
hex1340c99c

323013020 has 96 divisors (see below), whose sum is σ = 772390080. Its totient is φ = 112394240.

The previous prime is 323013013. The next prime is 323013029. The reversal of 323013020 is 20310323.

It is a super-2 number, since 2×3230130202 = 208674822179040800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 323012986 and 323013004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323013029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1256732 + ... + 1256988.

It is an arithmetic number, because the mean of its divisors is an integer number (8045730).

Almost surely, 2323013020 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 323013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386195040).

323013020 is an abundant number, since it is smaller than the sum of its proper divisors (449377060).

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

323013020 is a wasteful number, since it uses less digits than its factorization.

323013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 323013020 is about 17972.5629780507. The cubic root of 323013020 is about 686.1304225501.

Adding to 323013020 its reverse (20310323), we get a palindrome (343323343).

The spelling of 323013020 in words is "three hundred twenty-three million, thirteen thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 197 220 257 290 319 394 514 580 638 788 985 1028 1276 1285 1595 1970 2167 2570 2827 3190 3940 4334 5140 5654 5713 6380 7453 8668 10835 11308 11426 14135 14906 21670 22852 28270 28565 29812 37265 43340 50629 56540 57130 62843 74530 81983 101258 114260 125686 149060 163966 202516 251372 253145 314215 327932 409915 506290 556919 628430 819830 1012580 1113838 1256860 1468241 1639660 2227676 2784595 2936482 5569190 5872964 7341205 11138380 14682410 16150651 29364820 32301302 64602604 80753255 161506510 323013020