Search a number
-
+
1322303148 = 2232435371227
BaseRepresentation
bin100111011010000…
…1011111010101100
310102011010221220200
41032310023322230
510202002200043
6335113313500
744524251135
oct11664137254
93364127820
101322303148
11619450a21
1230aa05890
13180c467ca
14c7888c8c
157b1487d3
hex4ed0beac

1322303148 has 144 divisors (see below), whose sum is σ = 3549401856. Its totient is φ = 414610560.

The previous prime is 1322303131. The next prime is 1322303149. The reversal of 1322303148 is 8413032231.

It is a super-3 number, since 3×13223031483 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1322303149) 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 47 ways as a sum of consecutive naturals, for example, 5825011 + ... + 5825237.

It is an arithmetic number, because the mean of its divisors is an integer number (24648624).

Almost surely, 21322303148 is an apocalyptic number.

1322303148 is a gapful number since it is divisible by the number (18) 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 1322303148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774700928).

1322303148 is an abundant number, since it is smaller than the sum of its proper divisors (2227098708).

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

1322303148 is a wasteful number, since it uses less digits than its factorization.

1322303148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1322303148 is about 36363.4864665092. The cubic root of 1322303148 is about 1097.5989358077.

Adding to 1322303148 its reverse (8413032231), we get a palindrome (9735335379).

The spelling of 1322303148 in words is "one billion, three hundred twenty-two million, three hundred three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 53 71 86 106 129 142 159 172 212 213 227 258 284 318 387 426 454 477 516 636 639 681 774 852 908 954 1278 1362 1548 1908 2043 2279 2556 2724 3053 3763 4086 4558 6106 6837 7526 8172 9116 9159 9761 11289 12031 12212 13674 15052 16117 18318 19522 20511 22578 24062 27348 27477 29283 32234 33867 36093 36636 39044 41022 45156 48124 48351 54954 58566 64468 67734 72186 82044 87849 96702 108279 109908 117132 135468 144372 145053 161809 175698 193404 216558 290106 323618 351396 433116 485427 517333 580212 647236 693031 854201 970854 1034666 1386062 1456281 1551999 1708402 1941708 2069332 2079093 2562603 2772124 2912562 3103998 3416804 4158186 4655997 5125206 5825124 6207996 6237279 7687809 8316372 9311994 10250412 12474558 15375618 18623988 24949116 30751236 36730643 73461286 110191929 146922572 220383858 330575787 440767716 661151574 1322303148