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1304216235 = 3557891723
BaseRepresentation
bin100110110111100…
…1100001010101011
310100220010001100000
41031233030022223
510132334404420
6333225514043
744214440460
oct11557141253
93326101300
101304216235
1160a217a63
12304942923
1317a2830aa
14c52db667
1579774690
hex4dbcc2ab

1304216235 has 96 divisors (see below), whose sum is σ = 2710955520. Its totient is φ = 589171968.

The previous prime is 1304216231. The next prime is 1304216237. The reversal of 1304216235 is 5326124031.

1304216235 is a `hidden beast` number, since 1 + 3 + 0 + 421 + 6 + 235 = 666.

It is not a de Polignac number, because 1304216235 - 22 = 1304216231 is a prime.

It is a super-3 number, since 3×13042162353 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1304216199 and 1304216208.

It is not an unprimeable number, because it can be changed into a prime (1304216231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 756084 + ... + 757806.

It is an arithmetic number, because the mean of its divisors is an integer number (28239120).

Almost surely, 21304216235 is an apocalyptic number.

1304216235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1304216235 is an abundant number, since it is smaller than the sum of its proper divisors (1406739285).

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

1304216235 is an equidigital number, since it uses as much as digits as its factorization.

1304216235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1304216235 is about 36113.9340836747. The cubic root of 1304216235 is about 1092.5714992471.

The spelling of 1304216235 in words is "one billion, three hundred four million, two hundred sixteen thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 89 105 135 189 243 267 315 405 445 567 623 801 945 1215 1335 1701 1723 1869 2403 2835 3115 4005 5169 5607 7209 8505 8615 9345 12015 12061 15507 16821 21627 25845 28035 36045 36183 46521 50463 60305 77535 84105 108135 108549 139563 151389 153347 180915 232605 252315 325647 418689 460041 542745 697815 756945 766735 976941 1073429 1380123 1628235 2093445 2300205 2930823 3220287 4140369 4884705 5367145 6900615 9660861 12421107 14654115 16101435 20701845 28982583 37263321 48304305 62105535 86947749 144912915 186316605 260843247 434738745 1304216235