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3706664 = 2313291229
BaseRepresentation
bin1110001000111100101000
320222022120212
432020330220
51422103124
6211240252
743335413
oct16107450
96868525
103706664
112101965
1212a9088
139ca1c0
146c6b7a
154d340e
hex388f28

3706664 has 32 divisors (see below), whose sum is σ = 7749000. Its totient is φ = 1650432.

The previous prime is 3706649. The next prime is 3706669. The reversal of 3706664 is 4666073.

It can be written as a sum of positive squares in 4 ways, for example, as 3496900 + 209764 = 1870^2 + 458^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3706664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3706669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2402 + ... + 3630.

Almost surely, 23706664 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 3706664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874500).

3706664 is an abundant number, since it is smaller than the sum of its proper divisors (4042336).

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

3706664 is a wasteful number, since it uses less digits than its factorization.

3706664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 3706664 is about 1925.2698512157. The cubic root of 3706664 is about 154.7608382442.

The spelling of 3706664 in words is "three million, seven hundred six thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 754 1229 1508 2458 3016 4916 9832 15977 31954 35641 63908 71282 127816 142564 285128 463333 926666 1853332 3706664