Search a number
-
+
1303424325 = 33527311887
BaseRepresentation
bin100110110110000…
…1010110101000101
310100211121211001000
41031230022311011
510132134034300
6333200523513
744204631630
oct11554126505
93324554030
101303424325
11609826a95
12304620599
1317a0667c8
14c5172c17
1579669c00
hex4db0ad45

1303424325 has 96 divisors (see below), whose sum is σ = 2748395520. Its totient is φ = 593265600.

The previous prime is 1303424303. The next prime is 1303424327. The reversal of 1303424325 is 5234243031.

It is not a de Polignac number, because 1303424325 - 210 = 1303423301 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303424327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1469032 + ... + 1469918.

It is an arithmetic number, because the mean of its divisors is an integer number (28629120).

Almost surely, 21303424325 is an apocalyptic number.

1303424325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1303424325 is an abundant number, since it is smaller than the sum of its proper divisors (1444971195).

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

1303424325 is a wasteful number, since it uses less digits than its factorization.

1303424325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 1303424325 is about 36102.9683682658. The cubic root of 1303424325 is about 1092.3503208234.

Adding to 1303424325 its reverse (5234243031), we get a palindrome (6537667356).

The spelling of 1303424325 in words is "one billion, three hundred three million, four hundred twenty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 311 315 525 675 887 933 945 1555 1575 2177 2661 2799 4435 4665 4725 6209 6531 7775 7983 8397 10885 13305 13995 18627 19593 22175 23325 23949 31045 32655 39915 41985 54425 55881 58779 66525 69975 93135 97965 119745 155225 163275 167643 199575 209925 275857 279405 293895 465675 489825 598725 827571 838215 1379285 1397025 1469475 1930999 2482713 4137855 4191075 5792997 6896425 7448139 9654995 12413565 17378991 20689275 28964985 37240695 48274975 52136973 62067825 86894955 144824925 186203475 260684865 434474775 1303424325