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3690368 = 27112621
BaseRepresentation
bin1110000100111110000000
320221111020022
432010332000
51421042433
6211033012
743240043
oct16047600
96844208
103690368
1120a06a0
12129b768
139c2966
146c0c5a
154cd698
hex384f80

3690368 has 32 divisors (see below), whose sum is σ = 8023320. Its totient is φ = 1676800.

The previous prime is 3690361. The next prime is 3690371. The reversal of 3690368 is 8630963.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3690361) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98 + ... + 2718.

Almost surely, 23690368 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 3690368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011660).

3690368 is an abundant number, since it is smaller than the sum of its proper divisors (4332952).

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

3690368 is a wasteful number, since it uses less digits than its factorization.

3690368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 3690368 is about 1921.0330554158. The cubic root of 3690368 is about 154.5337079045.

The spelling of 3690368 in words is "three million, six hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 2621 5242 10484 20968 28831 41936 57662 83872 115324 167744 230648 335488 461296 922592 1845184 3690368