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3680544 = 25375477
BaseRepresentation
bin1110000010100100100000
320220222202110
432002210200
51420234134
6210515320
743166310
oct16024440
96828673
103680544
11209427a
121295b40
139bb34a
146bb440
154ca7e9
hex382920

3680544 has 48 divisors (see below), whose sum is σ = 11043648. Its totient is φ = 1051392.

The previous prime is 3680539. The next prime is 3680549. The reversal of 3680544 is 4450863.

It is an interprime number because it is at equal distance from previous prime (3680539) and next prime (3680549).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (3680549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2067 + ... + 3410.

It is an arithmetic number, because the mean of its divisors is an integer number (230076).

Almost surely, 23680544 is an apocalyptic number.

It is an amenable number.

3680544 is an abundant number, since it is smaller than the sum of its proper divisors (7363104).

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

3680544 is a wasteful number, since it uses less digits than its factorization.

3680544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5497 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3680544 is about 1918.4743938870. The cubic root of 3680544 is about 154.3964597790.

It can be divided in two parts, 3680 and 544, that added together give a palindrome (4224).

The spelling of 3680544 in words is "three million, six hundred eighty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 5477 10954 16431 21908 32862 38339 43816 65724 76678 87632 115017 131448 153356 175264 230034 262896 306712 460068 525792 613424 920136 1226848 1840272 3680544