Search a number
-
+
351468 = 223213751
BaseRepresentation
bin1010101110011101100
3122212010100
41111303230
542221333
611311100
72662455
oct1256354
9585110
10351468
11220077
1214b490
13c3c90
149212c
156e213
hex55cec

351468 has 36 divisors (see below), whose sum is σ = 958048. Its totient is φ = 108000.

The previous prime is 351457. The next prime is 351469. The reversal of 351468 is 864153.

351468 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 (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (351469) by changing a digit.

351468 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93 + ... + 843.

2351468 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 351468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479024).

351468 is an abundant number, since it is smaller than the sum of its proper divisors (606580).

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

351468 is a wasteful number, since it uses less digits than its factorization.

351468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 769 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 351468 is about 592.8473665287. The cubic root of 351468 is about 70.5713778373.

The spelling of 351468 in words is "three hundred fifty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 751 1502 2253 3004 4506 6759 9012 9763 13518 19526 27036 29289 39052 58578 87867 117156 175734 351468