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3677364 = 2232102149
BaseRepresentation
bin1110000001110010110100
320220211101200
432001302310
51420133424
6210452500
743154115
oct16016264
96824350
103677364
112091949
121294130
139b9a72
146ba20c
154c98c9
hex381cb4

3677364 has 18 divisors (see below), whose sum is σ = 9295650. Its totient is φ = 1225776.

The previous prime is 3677363. The next prime is 3677369. The reversal of 3677364 is 4637763.

It can be written as a sum of positive squares in only one way, i.e., 2377764 + 1299600 = 1542^2 + 1140^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 102149 = 3677364 / (3 + 6 + 7 + 7 + 3 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3677363) 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, 51039 + ... + 51110.

It is an arithmetic number, because the mean of its divisors is an integer number (516425).

Almost surely, 23677364 is an apocalyptic number.

It is an amenable number.

3677364 is an abundant number, since it is smaller than the sum of its proper divisors (5618286).

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

3677364 is a wasteful number, since it uses less digits than its factorization.

3677364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102159 (or 102154 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 3677364 is about 1917.6454312516. The cubic root of 3677364 is about 154.3519806465.

The spelling of 3677364 in words is "three million, six hundred seventy-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 102149 204298 306447 408596 612894 919341 1225788 1838682 3677364