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3716064 = 2533111723
BaseRepresentation
bin1110001011001111100000
320222210111000
432023033200
51422403224
6211352000
743405002
oct16131740
96883430
103716064
112108a30
1212b2600
13a01571
146ca372
154d60c9
hex38b3e0

3716064 has 192 divisors, whose sum is σ = 13063680. Its totient is φ = 1013760.

The previous prime is 3716057. The next prime is 3716071. The reversal of 3716064 is 4606173.

3716064 is digitally balanced in base 2, 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 (3716057) and next prime (3716071).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161557 + ... + 161579.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

Almost surely, 23716064 is an apocalyptic number.

3716064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3716064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840).

3716064 is an abundant number, since it is smaller than the sum of its proper divisors (9347616).

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

3716064 is a wasteful number, since it uses less digits than its factorization.

3716064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3716064 is about 1927.7095216863. The cubic root of 3716064 is about 154.8915509166.

The spelling of 3716064 in words is "three million, seven hundred sixteen thousand, sixty-four".