Search a number
-
+
609348 = 2231729103
BaseRepresentation
bin10010100110001000100
31010221212110
42110301010
5123444343
621021020
75115345
oct2246104
91127773
10609348
113868a3
12254770
1318447c
1411c0cc
15c0833
hex94c44

609348 has 48 divisors (see below), whose sum is σ = 1572480. Its totient is φ = 182784.

The previous prime is 609337. The next prime is 609359. The reversal of 609348 is 843906.

It is an interprime number because it is at equal distance from previous prime (609337) and next prime (609359).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

609348 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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5865 + ... + 5967.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2609348 is an apocalyptic number.

609348 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 609348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240).

609348 is an abundant number, since it is smaller than the sum of its proper divisors (963132).

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

609348 is a wasteful number, since it uses less digits than its factorization.

609348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 609348 is about 780.6074557676. The cubic root of 609348 is about 84.7790339173.

The spelling of 609348 in words is "six hundred nine thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 103 116 174 204 206 309 348 412 493 618 986 1236 1479 1751 1972 2958 2987 3502 5253 5916 5974 7004 8961 10506 11948 17922 21012 35844 50779 101558 152337 203116 304674 609348