Search a number
-
+
1302241304 = 2371319313037
BaseRepresentation
bin100110110011110…
…1010000000011000
310100202101201020102
41031213222000120
510131333210204
6333115314532
744161603610
oct11547520030
93322351212
101302241304
11609099191
1230414ba48
13179a411b0
14c4d45a40
15794d441e
hex4d9ea018

1302241304 has 128 divisors (see below), whose sum is σ = 3266457600. Its totient is φ = 472158720.

The previous prime is 1302241277. The next prime is 1302241309. The reversal of 1302241304 is 4031422031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1302241309) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 427274 + ... + 430310.

It is an arithmetic number, because the mean of its divisors is an integer number (25519200).

Almost surely, 21302241304 is an apocalyptic number.

1302241304 is a gapful number since it is divisible by the number (14) 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 1302241304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633228800).

1302241304 is an abundant number, since it is smaller than the sum of its proper divisors (1964216296).

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

1302241304 is a wasteful number, since it uses less digits than its factorization.

1302241304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113 (or 3109 counting only the distinct ones).

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

The square root of 1302241304 is about 36086.5806637315. The cubic root of 1302241304 is about 1092.0197391629.

Adding to 1302241304 its reverse (4031422031), we get a palindrome (5333663335).

The spelling of 1302241304 in words is "one billion, three hundred two million, two hundred forty-one thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 19 26 28 31 38 52 56 62 76 91 104 124 133 152 182 217 247 248 266 364 403 434 494 532 589 728 806 868 988 1064 1178 1612 1729 1736 1976 2356 2821 3037 3224 3458 4123 4712 5642 6074 6916 7657 8246 11284 12148 13832 15314 16492 21259 22568 24296 30628 32984 39481 42518 53599 57703 61256 78962 85036 94147 107198 115406 157924 170072 188294 214396 230812 276367 315848 376588 403921 428792 461624 552734 659029 750139 753176 807842 1105468 1223911 1318058 1500278 1615684 1788793 2210936 2447822 2636116 3000556 3231368 3577586 4895644 5250973 5272232 6001112 7155172 8567377 9791288 10501946 12521551 14310344 17134754 21003892 23254309 25043102 34269508 42007784 46508618 50086204 68539016 93017236 100172408 162780163 186034472 325560326 651120652 1302241304