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3688064 = 2728813
BaseRepresentation
bin1110000100011010000000
320221101001222
432010122000
51421004224
6211014212
743230242
oct16043200
96841058
103688064
112099996
12129a368
139c18b3
146c0092
154ccb5e
hex384680

3688064 has 16 divisors (see below), whose sum is σ = 7347570. Its totient is φ = 1843968.

The previous prime is 3688063. The next prime is 3688081. The reversal of 3688064 is 4608863.

It can be written as a sum of positive squares in only one way, i.e., 3534400 + 153664 = 1880^2 + 392^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is not an unprimeable number, because it can be changed into a prime (3688063) 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 as a sum of consecutive naturals, namely, 14279 + ... + 14534.

Almost surely, 23688064 is an apocalyptic number.

It is an amenable number.

3688064 is a deficient number, since it is larger than the sum of its proper divisors (3659506).

3688064 is an equidigital number, since it uses as much as digits as its factorization.

3688064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28827 (or 28815 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 3688064 is about 1920.4332844439. The cubic root of 3688064 is about 154.5015413035.

The spelling of 3688064 in words is "three million, six hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 28813 57626 115252 230504 461008 922016 1844032 3688064