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355424 = 2529383
BaseRepresentation
bin1010110110001100000
3200001112212
41112301200
542333144
611341252
73010136
oct1266140
9601485
10355424
11223043
12151828
13c5a14
1493756
157049e
hex56c60

355424 has 24 divisors (see below), whose sum is σ = 725760. Its totient is φ = 171136.

The previous prime is 355417. The next prime is 355427. The reversal of 355424 is 424553.

355424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 355424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355427) by changing a digit.

355424 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 3 ways as a sum of consecutive naturals, for example, 737 + ... + 1119.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2355424 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 355424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

355424 is an abundant number, since it is smaller than the sum of its proper divisors (370336).

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

355424 is a wasteful number, since it uses less digits than its factorization.

355424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 414 counting only the distinct ones).

The product of its digits is 2400, while the sum is 23.

The square root of 355424 is about 596.1744711072. The cubic root of 355424 is about 70.8351661194.

Adding to 355424 its reverse (424553), we get a palindrome (779977).

The spelling of 355424 in words is "three hundred fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 383 464 766 928 1532 3064 6128 11107 12256 22214 44428 88856 177712 355424