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323000132 = 227132341941
BaseRepresentation
bin10011010000001…
…001011101000100
3211111210002212212
4103100021131010
51130142001012
652015002552
711001312230
oct2320113504
9744702785
10323000132
11156363864
1290209458
1351bc1950
1430c7d5c0
151d553b22
hex13409744

323000132 has 96 divisors (see below), whose sum is σ = 744436224. Its totient is φ = 119116800.

The previous prime is 323000131. The next prime is 323000137. The reversal of 323000132 is 231000323.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (323000131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342782 + ... + 343722.

It is an arithmetic number, because the mean of its divisors is an integer number (7754544).

Almost surely, 2323000132 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 323000132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372218112).

323000132 is an abundant number, since it is smaller than the sum of its proper divisors (421436092).

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

323000132 is a wasteful number, since it uses less digits than its factorization.

323000132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 323000132 is about 17972.2044279493. The cubic root of 323000132 is about 686.1212970495.

Adding to 323000132 its reverse (231000323), we get a palindrome (554000455).

The spelling of 323000132 in words is "three hundred twenty-three million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 7 13 14 23 26 28 41 46 52 82 91 92 161 164 182 287 299 322 364 533 574 598 644 941 943 1066 1148 1196 1882 1886 2093 2132 3731 3764 3772 4186 6587 6601 7462 8372 12233 12259 13174 13202 14924 21643 24466 24518 26348 26404 38581 43286 48932 49036 77162 85631 85813 86572 151501 154324 171262 171626 270067 281359 303002 342524 343252 501553 540134 562718 606004 887363 1003106 1080268 1125436 1774726 1969513 2006212 3510871 3549452 3939026 6211541 7021742 7878052 11535719 12423082 14043484 23071438 24846164 46142876 80750033 161500066 323000132