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350424 = 233231157
BaseRepresentation
bin1010101100011011000
3122210200200
41111203120
542203144
611302200
72656434
oct1254330
9583620
10350424
1121a308
1214a960
13c3669
14919c4
156dc69
hex558d8

350424 has 48 divisors (see below), whose sum is σ = 985920. Its totient is φ = 112320.

The previous prime is 350423. The next prime is 350429. The reversal of 350424 is 424053.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 350397 and 350406.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 350424.

It is not an unprimeable number, because it can be changed into a prime (350423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2154 + ... + 2310.

It is an arithmetic number, because the mean of its divisors is an integer number (20540).

2350424 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 350424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492960).

350424 is an abundant number, since it is smaller than the sum of its proper divisors (635496).

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

350424 is a wasteful number, since it uses less digits than its factorization.

350424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 350424 is about 591.9662152522. The cubic root of 350424 is about 70.5014335004.

Adding to 350424 its reverse (424053), we get a palindrome (774477).

The spelling of 350424 in words is "three hundred fifty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 157 186 248 279 314 372 471 558 628 744 942 1116 1256 1413 1884 2232 2826 3768 4867 5652 9734 11304 14601 19468 29202 38936 43803 58404 87606 116808 175212 350424