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304140 = 223537137
BaseRepresentation
bin1001010010000001100
3120110012110
41022100030
534213030
610304020
72404464
oct1122014
9513173
10304140
11198561
12128010
13a8585
147cba4
15601b0
hex4a40c

304140 has 48 divisors (see below), whose sum is σ = 880992. Its totient is φ = 78336.

The previous prime is 304127. The next prime is 304151. The reversal of 304140 is 41403.

304140 = T33 + T34 + ... + T122.

It is a super-2 number, since 2×3041402 = 185002279200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

304140 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 15 ways as a sum of consecutive naturals, for example, 2152 + ... + 2288.

It is an arithmetic number, because the mean of its divisors is an integer number (18354).

2304140 is an apocalyptic number.

304140 is a gapful number since it is divisible by the number (30) 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 304140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440496).

304140 is an abundant number, since it is smaller than the sum of its proper divisors (576852).

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

304140 is a wasteful number, since it uses less digits than its factorization.

304140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 304140 is about 551.4888938138. The cubic root of 304140 is about 67.2498284062.

Adding to 304140 its reverse (41403), we get a palindrome (345543).

It can be divided in two parts, 3041 and 40, that added together give a triangular number (3081 = T78).

The spelling of 304140 in words is "three hundred four thousand, one hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 137 148 185 222 274 370 411 444 548 555 685 740 822 1110 1370 1644 2055 2220 2740 4110 5069 8220 10138 15207 20276 25345 30414 50690 60828 76035 101380 152070 304140