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421296 = 24367131
BaseRepresentation
bin1100110110110110000
3210101220120
41212312300
5101440141
613010240
73403161
oct1466660
9711816
10421296
11268587
12183980
131199b5
14ad768
1584c66
hex66db0

421296 has 40 divisors (see below), whose sum is σ = 1113024. Its totient is φ = 137280.

The previous prime is 421279. The next prime is 421303. The reversal of 421296 is 692124.

421296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3151 + ... + 3281.

2421296 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 421296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556512).

421296 is an abundant number, since it is smaller than the sum of its proper divisors (691728).

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

421296 is a wasteful number, since it uses less digits than its factorization.

421296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 421296 is about 649.0731853959. The cubic root of 421296 is about 74.9656731802.

It can be divided in two parts, 421 and 296, that added together give a palindrome (717).

The spelling of 421296 in words is "four hundred twenty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 131 134 201 262 268 393 402 524 536 786 804 1048 1072 1572 1608 2096 3144 3216 6288 8777 17554 26331 35108 52662 70216 105324 140432 210648 421296