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399360 = 2113513
BaseRepresentation
bin1100001100000000000
3202021211010
41201200000
5100234420
612320520
73252213
oct1414000
9667733
10399360
11253055
12173140
1310ca10
14a577a
157d4e0
hex61800

399360 has 96 divisors (see below), whose sum is σ = 1375920. Its totient is φ = 98304.

The previous prime is 399353. The next prime is 399379. The reversal of 399360 is 63993.

399360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2 and base 9.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 104 × 40 × 96.

It is a congruent number.

It is an unprimeable number.

399360 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 7 ways as a sum of consecutive naturals, for example, 30714 + ... + 30726.

2399360 is an apocalyptic number.

399360 is a gapful number since it is divisible by the number (30) 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 399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687960).

399360 is an abundant number, since it is smaller than the sum of its proper divisors (976560).

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

399360 is a wasteful number, since it uses less digits than its factorization.

399360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 399360 is about 631.9493650602. The cubic root of 399360 is about 73.6413126601.

The spelling of 399360 in words is "three hundred ninety-nine thousand, three hundred sixty".