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665384112 = 243323167401
BaseRepresentation
bin100111101010001…
…111010010110000
31201101001000102000
4213222033102300
52330314242422
6150005254000
722326446241
oct4752172260
91641030360
10665384112
11311656a28
12166a04300
13a7b0c413
1464526cc8
153d635cac
hex27a8f4b0

665384112 has 160 divisors (see below), whose sum is σ = 2009871360. Its totient is φ = 210355200.

The previous prime is 665384099. The next prime is 665384113. The reversal of 665384112 is 211483566.

It is a happy number.

665384112 is a `hidden beast` number, since 6 + 6 + 538 + 4 + 112 = 666.

665384112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (665384113) 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, 1659112 + ... + 1659512.

It is an arithmetic number, because the mean of its divisors is an integer number (12561696).

Almost surely, 2665384112 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 665384112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004935680).

665384112 is an abundant number, since it is smaller than the sum of its proper divisors (1344487248).

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

665384112 is a wasteful number, since it uses less digits than its factorization.

665384112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 596 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 665384112 is about 25795.0404535446. The cubic root of 665384112 is about 873.0198977527.

The spelling of 665384112 in words is "six hundred sixty-five million, three hundred eighty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 167 184 207 216 276 334 368 401 414 432 501 552 621 668 802 828 1002 1104 1203 1242 1336 1503 1604 1656 2004 2406 2484 2672 3006 3208 3312 3609 3841 4008 4509 4812 4968 6012 6416 7218 7682 8016 9018 9223 9624 9936 10827 11523 12024 14436 15364 18036 18446 19248 21654 23046 24048 27669 28872 30728 34569 36072 36892 43308 46092 55338 57744 61456 66967 69138 72144 73784 83007 86616 92184 103707 110676 133934 138276 147568 166014 173232 184368 200901 207414 221352 249021 267868 276552 332028 401802 414828 442704 498042 535736 553104 602703 664056 803604 829656 996084 1071472 1205406 1328112 1540241 1607208 1659312 1808109 1992168 2410812 3080482 3214416 3616218 3984336 4620723 4821624 6160964 7232436 9241446 9643248 12321928 13862169 14464872 18482892 24643856 27724338 28929744 36965784 41586507 55448676 73931568 83173014 110897352 166346028 221794704 332692056 665384112