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3230132444 = 2271167157997
BaseRepresentation
bin1100000010000111…
…1110100011011100
322100010001201200222
43000201332203130
523103403214234
61252304540512
7143021446520
oct30041764334
98303051628
103230132444
111408364350
12761921738
133c628bb96
14228dcdd80
1513d8a142e
hexc087e8dc

3230132444 has 96 divisors (see below), whose sum is σ = 7205528064. Its totient is φ = 1230577920.

The previous prime is 3230132441. The next prime is 3230132509. The reversal of 3230132444 is 4442310323.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3230132441) 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, 3239354 + ... + 3240350.

It is an arithmetic number, because the mean of its divisors is an integer number (75057584).

Almost surely, 23230132444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3230132444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602764032).

3230132444 is an abundant number, since it is smaller than the sum of its proper divisors (3975395620).

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

3230132444 is a wasteful number, since it uses less digits than its factorization.

3230132444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 3230132444 is about 56834.2541430782. The cubic root of 3230132444 is about 1478.2235265396.

Adding to 3230132444 its reverse (4442310323), we get a palindrome (7672442767).

The spelling of 3230132444 in words is "three billion, two hundred thirty million, one hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 67 77 134 154 157 268 308 314 469 628 737 938 997 1099 1474 1727 1876 1994 2198 2948 3454 3988 4396 5159 6908 6979 10318 10519 10967 12089 13958 20636 21038 21934 24178 27916 42076 43868 48356 66799 73633 76769 115709 133598 147266 153538 156529 231418 267196 294532 307076 313058 462836 467593 626116 734789 809963 935186 1095703 1469578 1619926 1721819 1870372 2191406 2939156 3239852 3443638 4382812 5143523 6887276 10287046 10487443 12052733 20574092 20974886 24105466 41949772 48210932 73412101 115361873 146824202 230723746 293648404 461447492 807533111 1615066222 3230132444