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2664684 = 2233112243
BaseRepresentation
bin1010001010100011101100
312000101021000
422022203230
51140232214
6133040300
731435521
oct12124354
95011230
102664684
111560020
12a86090
13723b49
144d5148
15379809
hex28a8ec

2664684 has 48 divisors (see below), whose sum is σ = 7539840. Its totient is φ = 807120.

The previous prime is 2664661. The next prime is 2664689. The reversal of 2664684 is 4864662.

It is a happy number.

2664684 is a `hidden beast` number, since 2 + 6 + 646 + 8 + 4 = 666.

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 (2664689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67 + ... + 2309.

It is an arithmetic number, because the mean of its divisors is an integer number (157080).

22664684 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 2664684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769920).

2664684 is an abundant number, since it is smaller than the sum of its proper divisors (4875156).

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

2664684 is a wasteful number, since it uses less digits than its factorization.

2664684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2259 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 2664684 is about 1632.3859837673. The cubic root of 2664684 is about 138.6378787420.

It can be divided in two parts, 266 and 4684, that added together give a triangular number (4950 = T99).

The spelling of 2664684 in words is "two million, six hundred sixty-four thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 2243 4486 6729 8972 13458 20187 24673 26916 40374 49346 60561 74019 80748 98692 121122 148038 222057 242244 296076 444114 666171 888228 1332342 2664684