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399384 = 2333432
BaseRepresentation
bin1100001100000011000
3202021212000
41201200120
5100240014
612321000
73252246
oct1414030
9667760
10399384
11253077
12173160
1310ca2b
14a5796
157d509
hex61818

399384 has 48 divisors (see below), whose sum is σ = 1135800. Its totient is φ = 130032.

The previous prime is 399379. The next prime is 399389. The reversal of 399384 is 483993.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (399379) and next prime (399389).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (23328) is a multiple of the sum of its prime divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399389) by changing a digit.

399384 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9267 + ... + 9309.

2399384 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 399384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567900).

399384 is an abundant number, since it is smaller than the sum of its proper divisors (736416).

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

399384 is a wasteful number, since it uses less digits than its factorization.

399384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 48 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 399384 is about 631.9683536381. The cubic root of 399384 is about 73.6427878171.

The spelling of 399384 in words is "three hundred ninety-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1161 1548 1849 2322 3096 3698 4644 5547 7396 9288 11094 14792 16641 22188 33282 44376 49923 66564 99846 133128 199692 399384