Search a number
-
+
1304123340 = 22351313112763
BaseRepresentation
bin100110110111011…
…0101011111001100
310100212221022220110
41031232311133030
510132323421330
6333223520020
744213602602
oct11556653714
93325838813
101304123340
1160a164193
123048b9010
1317a24ca20
14c52b5872
1579756db0
hex4dbb57cc

1304123340 has 96 divisors (see below), whose sum is σ = 3962762496. Its totient is φ = 318539520.

The previous prime is 1304123339. The next prime is 1304123351. The reversal of 1304123340 is 433214031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95799 + ... + 108561.

It is an arithmetic number, because the mean of its divisors is an integer number (41278776).

Almost surely, 21304123340 is an apocalyptic number.

1304123340 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 1304123340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981381248).

1304123340 is an abundant number, since it is smaller than the sum of its proper divisors (2658639156).

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

1304123340 is a wasteful number, since it uses less digits than its factorization.

1304123340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12919 (or 12917 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1304123340 is about 36112.6479228538. The cubic root of 1304123340 is about 1092.5455585489.

Adding to 1304123340 its reverse (433214031), we get a palindrome (1737337371).

The spelling of 1304123340 in words is "one billion, three hundred four million, one hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 131 156 195 260 262 390 393 524 655 780 786 1310 1572 1703 1965 2620 3406 3930 5109 6812 7860 8515 10218 12763 17030 20436 25526 25545 34060 38289 51052 51090 63815 76578 102180 127630 153156 165919 191445 255260 331838 382890 497757 663676 765780 829595 995514 1659190 1671953 1991028 2488785 3318380 3343906 4977570 5015859 6687812 8359765 9955140 10031718 16719530 20063436 21735389 25079295 33439060 43470778 50158590 65206167 86941556 100317180 108676945 130412334 217353890 260824668 326030835 434707780 652061670 1304123340