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3675744 = 253212763
BaseRepresentation
bin1110000001011001100000
320220202011200
432001121200
51420110434
6210441200
743146312
oct16013140
96822150
103675744
112090706
121293200
139b90c7
146b97b2
154c9199
hex381660

3675744 has 36 divisors (see below), whose sum is σ = 10453716. Its totient is φ = 1225152.

The previous prime is 3675743. The next prime is 3675767. The reversal of 3675744 is 4475763.

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

It is a super-2 number, since 2×36757442 = 27022187907072, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 39 + 68 + 74 + 59 + 75 + 42 + 46 .

It is a junction number, because it is equal to n+sod(n) for n = 3675699 and 3675708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3675743) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6094 + ... + 6669.

It is an arithmetic number, because the mean of its divisors is an integer number (290381).

Almost surely, 23675744 is an apocalyptic number.

It is an amenable number.

3675744 is an abundant number, since it is smaller than the sum of its proper divisors (6777972).

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

3675744 is a wasteful number, since it uses less digits than its factorization.

3675744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12779 (or 12768 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 3675744 is about 1917.2229917253. Note that the first 3 decimals coincide. The cubic root of 3675744 is about 154.3293116064.

The spelling of 3675744 in words is "three million, six hundred seventy-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 12763 25526 38289 51052 76578 102104 114867 153156 204208 229734 306312 408416 459468 612624 918936 1225248 1837872 3675744