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423327816 = 233331191331
BaseRepresentation
bin11001001110110…
…111100001001000
31002111120021121000
4121032313201020
51331332442231
6110001215000
713330140612
oct3116674110
91074507530
10423327816
111a7a594aa
12b9931460
136991b642
1440317db2
15272706e6
hex193b7848

423327816 has 128 divisors (see below), whose sum is σ = 1223884800. Its totient is φ = 135432000.

The previous prime is 423327781. The next prime is 423327833. The reversal of 423327816 is 618723324.

It is a happy number.

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

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, 1278771 + ... + 1279101.

It is an arithmetic number, because the mean of its divisors is an integer number (9561600).

Almost surely, 2423327816 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 423327816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611942400).

423327816 is an abundant number, since it is smaller than the sum of its proper divisors (800556984).

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

423327816 is a wasteful number, since it uses less digits than its factorization.

423327816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 558 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 423327816 is about 20574.9317374323. The cubic root of 423327816 is about 750.8599416237.

The spelling of 423327816 in words is "four hundred twenty-three million, three hundred twenty-seven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 191 216 248 279 331 372 382 558 573 662 744 764 837 993 1116 1146 1324 1528 1674 1719 1986 2232 2292 2648 2979 3348 3438 3972 4584 5157 5921 5958 6696 6876 7944 8937 10261 10314 11842 11916 13752 17763 17874 20522 20628 23684 23832 30783 35526 35748 41044 41256 47368 53289 61566 63221 71052 71496 82088 92349 106578 123132 126442 142104 159867 184698 189663 213156 246264 252884 277047 319734 369396 379326 426312 505768 554094 568989 639468 738792 758652 1108188 1137978 1278936 1517304 1706967 1959851 2216376 2275956 3413934 3919702 4551912 5879553 6827868 7839404 11759106 13655736 15678808 17638659 23518212 35277318 47036424 52915977 70554636 105831954 141109272 211663908 423327816