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673632 = 25322339
BaseRepresentation
bin10100100011101100000
31021020001100
42210131200
5133024012
622234400
75503641
oct2443540
91236040
10673632
11420123
12285a00
131a77cb
141376c8
15d48dc
hexa4760

673632 has 36 divisors (see below), whose sum is σ = 1916460. Its totient is φ = 224448.

The previous prime is 673619. The next prime is 673637. The reversal of 673632 is 236376.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 673596 and 673605.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 673632.

It is not an unprimeable number, because it can be changed into a prime (673637) by changing a digit.

673632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 882 + ... + 1457.

It is an arithmetic number, because the mean of its divisors is an integer number (53235).

2673632 is an apocalyptic number.

It is an amenable number.

673632 is an abundant number, since it is smaller than the sum of its proper divisors (1242828).

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

673632 is a wasteful number, since it uses less digits than its factorization.

673632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2344 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 673632 is about 820.7508757230. The cubic root of 673632 is about 87.6612319749.

The spelling of 673632 in words is "six hundred seventy-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2339 4678 7017 9356 14034 18712 21051 28068 37424 42102 56136 74848 84204 112272 168408 224544 336816 673632