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1668312 = 2332172947
BaseRepresentation
bin110010111010011011000
310010202111100
412113103120
5411341222
655431400
720115612
oct6272330
93122440
101668312
11a3a478
12685560
13465489
14315db2
1522e4ac
hex1974d8

1668312 has 96 divisors (see below), whose sum is σ = 5054400. Its totient is φ = 494592.

The previous prime is 1668307. The next prime is 1668313. The reversal of 1668312 is 2138661.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668313) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 35473 + ... + 35519.

It is an arithmetic number, because the mean of its divisors is an integer number (52650).

21668312 is an apocalyptic number.

1668312 is a gapful number since it is divisible by the number (12) 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 1668312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527200).

1668312 is an abundant number, since it is smaller than the sum of its proper divisors (3386088).

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

1668312 is a wasteful number, since it uses less digits than its factorization.

1668312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 98 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1668312 is about 1291.6315264037. The cubic root of 1668312 is about 118.6021124856.

The spelling of 1668312 in words is "one million, six hundred sixty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 29 34 36 47 51 58 68 72 87 94 102 116 136 141 153 174 188 204 232 261 282 306 348 376 408 423 493 522 564 612 696 799 846 986 1044 1128 1224 1363 1479 1598 1692 1972 2088 2397 2726 2958 3196 3384 3944 4089 4437 4794 5452 5916 6392 7191 8178 8874 9588 10904 11832 12267 14382 16356 17748 19176 23171 24534 28764 32712 35496 46342 49068 57528 69513 92684 98136 139026 185368 208539 278052 417078 556104 834156 1668312