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1466328 = 233107571
BaseRepresentation
bin101100101111111011000
32202111102110
411211333120
5333410303
651232320
715315003
oct5457730
92674373
101466328
11911746
125a86a0
133c4566
142a253a
151de703
hex165fd8

1466328 has 32 divisors (see below), whose sum is σ = 3706560. Its totient is φ = 483360.

The previous prime is 1466323. The next prime is 1466329. The reversal of 1466328 is 8236641.

1466328 is a nontrivial binomial coefficient, being equal to C(1713, 2).

It is a super-3 number, since 3×14663283 = 9458333816081158656, which contains 333 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1466295 and 1466304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1466323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2283 + ... + 2853.

It is an arithmetic number, because the mean of its divisors is an integer number (115830).

21466328 is an apocalyptic number.

1466328 is the 1712-nd triangular number.

It is an amenable number.

1466328 is an abundant number, since it is smaller than the sum of its proper divisors (2240232).

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

1466328 is a wasteful number, since it uses less digits than its factorization.

1466328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 683 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 1466328 is about 1210.9203111683. The cubic root of 1466328 is about 113.6083823081.

The spelling of 1466328 in words is "one million, four hundred sixty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 107 214 321 428 571 642 856 1142 1284 1713 2284 2568 3426 4568 6852 13704 61097 122194 183291 244388 366582 488776 733164 1466328