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3688944 = 243710979
BaseRepresentation
bin1110000100100111110000
320221102021120
432010213300
51421021234
6211022240
743232640
oct16044760
96842246
103688944
11209a616
12129a980
139c210c
146c0520
154cd049
hex3849f0

3688944 has 40 divisors (see below), whose sum is σ = 10892160. Its totient is φ = 1053888.

The previous prime is 3688939. The next prime is 3688963. The reversal of 3688944 is 4498863.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3688896 and 3688905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5154 + ... + 5825.

It is an arithmetic number, because the mean of its divisors is an integer number (272304).

Almost surely, 23688944 is an apocalyptic number.

It is an amenable number.

3688944 is an abundant number, since it is smaller than the sum of its proper divisors (7203216).

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

3688944 is a wasteful number, since it uses less digits than its factorization.

3688944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10997 (or 10991 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 3688944 is about 1920.6623857409. The cubic root of 3688944 is about 154.5138287388.

The spelling of 3688944 in words is "three million, six hundred eighty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 10979 21958 32937 43916 65874 76853 87832 131748 153706 175664 230559 263496 307412 461118 526992 614824 922236 1229648 1844472 3688944