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3688398 = 232773401
BaseRepresentation
bin1110000100011111001110
320221101112100
432010133032
51421012043
6211015530
743231230
oct16043716
96841470
103688398
11209a16a
12129a5a6
139c1aac
146c0250
154cccd3
hex3847ce

3688398 has 48 divisors (see below), whose sum is σ = 9281376. Its totient is φ = 1036800.

The previous prime is 3688393. The next prime is 3688453. The reversal of 3688398 is 8938863.

Its product of digits (248832) is a multiple of the sum of its prime divisors (486).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3688393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8998 + ... + 9398.

It is an arithmetic number, because the mean of its divisors is an integer number (193362).

Almost surely, 23688398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3688398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4640688).

3688398 is an abundant number, since it is smaller than the sum of its proper divisors (5592978).

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

3688398 is a wasteful number, since it uses less digits than its factorization.

3688398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 486 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 3688398 is about 1920.5202420178. The cubic root of 3688398 is about 154.5062051738.

The spelling of 3688398 in words is "three million, six hundred eighty-eight thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 73 126 146 219 401 438 511 657 802 1022 1203 1314 1533 2406 2807 3066 3609 4599 5614 7218 8421 9198 16842 25263 29273 50526 58546 87819 175638 204911 263457 409822 526914 614733 1229466 1844199 3688398