Search a number
-
+
1304234120 = 235712736677
BaseRepresentation
bin100110110111101…
…0000100010001000
310100220010221212102
41031233100202020
510132340442440
6333230132532
744214543560
oct11557204210
93326127772
101304234120
1160a22a442
12304951148
1317a28b287
14c5303da0
1579779b15
hex4dbd0888

1304234120 has 64 divisors (see below), whose sum is σ = 3380244480. Its totient is φ = 443632896.

The previous prime is 1304234111. The next prime is 1304234153. The reversal of 1304234120 is 214324031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1304234092 and 1304234101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17222 + ... + 53898.

It is an arithmetic number, because the mean of its divisors is an integer number (52816320).

Almost surely, 21304234120 is an apocalyptic number.

1304234120 is a gapful number since it is divisible by the number (10) 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 1304234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690122240).

1304234120 is an abundant number, since it is smaller than the sum of its proper divisors (2076010360).

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

1304234120 is a wasteful number, since it uses less digits than its factorization.

1304234120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36822 (or 36818 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1304234120 is about 36114.1817019298. The cubic root of 1304234120 is about 1092.5764934475.

Adding to 1304234120 its reverse (214324031), we get a palindrome (1518558151).

The spelling of 1304234120 in words is "one billion, three hundred four million, two hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 127 140 254 280 508 635 889 1016 1270 1778 2540 3556 4445 5080 7112 8890 17780 35560 36677 73354 146708 183385 256739 293416 366770 513478 733540 1026956 1283695 1467080 2053912 2567390 4657979 5134780 9315958 10269560 18631916 23289895 32605853 37263832 46579790 65211706 93159580 130423412 163029265 186319160 260846824 326058530 652117060 1304234120