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663266340 = 2233511210151
BaseRepresentation
bin100111100010001…
…010010000100100
31201020001102101000
4213202022100210
52324244010330
6145452033300
722302446052
oct4742122044
91636042330
10663266340
1131043a900
12166162830
13a754a4b9
14641351d2
153d368560
hex2788a424

663266340 has 144 divisors (see below), whose sum is σ = 2268362880. Its totient is φ = 160776000.

The previous prime is 663266323. The next prime is 663266381. The reversal of 663266340 is 43662366.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 663266295 and 663266304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60265 + ... + 70415.

It is an arithmetic number, because the mean of its divisors is an integer number (15752520).

Almost surely, 2663266340 is an apocalyptic number.

663266340 is a gapful number since it is divisible by the number (60) 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 663266340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134181440).

663266340 is an abundant number, since it is smaller than the sum of its proper divisors (1605096540).

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

663266340 is a wasteful number, since it uses less digits than its factorization.

663266340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10191 (or 10172 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 663266340 is about 25753.9577541006. The cubic root of 663266340 is about 872.0927029491.

The spelling of 663266340 in words is "six hundred sixty-three million, two hundred sixty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 121 132 135 165 180 198 220 242 270 297 330 363 396 484 495 540 594 605 660 726 990 1089 1188 1210 1452 1485 1815 1980 2178 2420 2970 3267 3630 4356 5445 5940 6534 7260 10151 10890 13068 16335 20302 21780 30453 32670 40604 50755 60906 65340 91359 101510 111661 121812 152265 182718 203020 223322 274077 304530 334983 365436 446644 456795 548154 558305 609060 669966 913590 1004949 1096308 1116610 1228271 1339932 1370385 1674915 1827180 2009898 2233220 2456542 2740770 3014847 3349830 3684813 4019796 4913084 5024745 5481540 6029694 6141355 6699660 7369626 10049490 11054439 12059388 12282710 14739252 15074235 18424065 20098980 22108878 24565420 30148470 33163317 36848130 44217756 55272195 60296940 66326634 73696260 110544390 132653268 165816585 221088780 331633170 663266340