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1304303420 = 2257291033119
BaseRepresentation
bin100110110111110…
…0001011100111100
310100220021110221002
41031233201130330
510132400202140
6333231425432
744215252610
oct11557413474
93326243832
101304303420
1160a277512
12304985278
1317a2b3994
14c5321340
1579790415
hex4dbe173c

1304303420 has 96 divisors (see below), whose sum is σ = 3270758400. Its totient is φ = 427440384.

The previous prime is 1304303387. The next prime is 1304303423. The reversal of 1304303420 is 243034031.

It is a super-2 number, since 2×13043034202 = 3402414822847392800, which contains 22 as substring.

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 = 1304303392 and 1304303401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304303423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416621 + ... + 419739.

It is an arithmetic number, because the mean of its divisors is an integer number (34070400).

Almost surely, 21304303420 is an apocalyptic number.

1304303420 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 1304303420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635379200).

1304303420 is an abundant number, since it is smaller than the sum of its proper divisors (1966454980).

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

1304303420 is a wasteful number, since it uses less digits than its factorization.

1304303420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1304303420 is about 36115.1411460623. The cubic root of 1304303420 is about 1092.5958443214.

Adding to 1304303420 its reverse (243034031), we get a palindrome (1547337451).

The spelling of 1304303420 in words is "one billion, three hundred four million, three hundred three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 103 116 140 145 203 206 290 406 412 515 580 721 812 1015 1030 1442 2030 2060 2884 2987 3119 3605 4060 5974 6238 7210 11948 12476 14420 14935 15595 20909 21833 29870 31190 41818 43666 59740 62380 83636 87332 90451 104545 109165 180902 209090 218330 321257 361804 418180 436660 452255 633157 642514 904510 1266314 1285028 1606285 1809020 2248799 2532628 3165785 3212570 4497598 6331570 6425140 8995196 9316453 11243995 12663140 18632906 22487990 37265812 44975980 46582265 65215171 93164530 130430342 186329060 260860684 326075855 652151710 1304303420