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3673944 = 233373233
BaseRepresentation
bin1110000000111101011000
320220122201000
432000331120
51420031234
6210425000
743141131
oct16007530
96818630
103673944
11208a31a
121292160
139b8341
146b8c88
154c8899
hex380f58

3673944 has 64 divisors (see below), whose sum is σ = 10389600. Its totient is φ = 1202688.

The previous prime is 3673939. The next prime is 3673949. The reversal of 3673944 is 4493763.

3673944 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3673939) and next prime (3673949).

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

It is a junction number, because it is equal to n+sod(n) for n = 3673899 and 3673908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3673949) 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, 15652 + ... + 15884.

Almost surely, 23673944 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 3673944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5194800).

3673944 is an abundant number, since it is smaller than the sum of its proper divisors (6715656).

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

3673944 is a wasteful number, since it uses less digits than its factorization.

3673944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 311 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 3673944 is about 1916.7535052792. The cubic root of 3673944 is about 154.3041159709.

The spelling of 3673944 in words is "three million, six hundred seventy-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 233 292 438 466 584 657 699 876 932 1314 1398 1752 1864 1971 2097 2628 2796 3942 4194 5256 5592 6291 7884 8388 12582 15768 16776 17009 25164 34018 50328 51027 68036 102054 136072 153081 204108 306162 408216 459243 612324 918486 1224648 1836972 3673944