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396288 = 2103243
BaseRepresentation
bin1100000110000000000
3202010121100
41200300000
5100140123
612254400
73240234
oct1406000
9663540
10396288
11250812
12171400
1310b4b9
14a45c4
157c643
hex60c00

396288 has 66 divisors (see below), whose sum is σ = 1170884. Its totient is φ = 129024.

The previous prime is 396269. The next prime is 396293. The reversal of 396288 is 882693.

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 (20736) is a multiple of the sum of its prime divisors (48).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9195 + ... + 9237.

2396288 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 396288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585442).

396288 is an abundant number, since it is smaller than the sum of its proper divisors (774596).

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

396288 is a wasteful number, since it uses less digits than its factorization.

396288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 48 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 396288 is about 629.5140983330. The cubic root of 396288 is about 73.4520025380.

The spelling of 396288 in words is "three hundred ninety-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 512 516 576 688 768 774 1024 1032 1152 1376 1536 1548 2064 2304 2752 3072 3096 4128 4608 5504 6192 8256 9216 11008 12384 16512 22016 24768 33024 44032 49536 66048 99072 132096 198144 396288