Search a number
-
+
323544132 = 223437137197
BaseRepresentation
bin10011010010001…
…110010001000100
3211112210202010000
4103102032101010
51130311403012
652034401300
711006036232
oct2322162104
9745722100
10323544132
111566a554a
1290430230
1352052442
1430d81952
151d60eddc
hex1348e444

323544132 has 120 divisors (see below), whose sum is σ = 879450264. Its totient is φ = 103638528.

The previous prime is 323544131. The next prime is 323544149. The reversal of 323544132 is 231445323.

It can be written as a sum of positive squares in 4 ways, for example, as 224820036 + 98724096 = 14994^2 + 9936^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 323544096 and 323544105.

It is not an unprimeable number, because it can be changed into a prime (323544131) 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 39 ways as a sum of consecutive naturals, for example, 1642258 + ... + 1642454.

Almost surely, 2323544132 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 323544132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439725132).

323544132 is an abundant number, since it is smaller than the sum of its proper divisors (555906132).

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

323544132 is a wasteful number, since it uses less digits than its factorization.

323544132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 376 counting only the distinct ones).

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

The square root of 323544132 is about 17987.3325426535. The cubic root of 323544132 is about 686.5062717504.

Adding to 323544132 its reverse (231445323), we get a palindrome (554989455).

The spelling of 323544132 in words is "three hundred twenty-three million, five hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 137 148 162 197 222 274 324 333 394 411 444 548 591 666 788 822 999 1182 1233 1332 1644 1773 1998 2364 2466 2997 3546 3699 3996 4932 5069 5319 5994 7092 7289 7398 10138 10638 11097 11988 14578 14796 15207 15957 20276 21276 21867 22194 26989 29156 30414 31914 43734 44388 45621 53978 60828 63828 65601 80967 87468 91242 107956 131202 136863 161934 182484 196803 242901 262404 273726 323868 393606 410589 485802 547452 590409 728703 787212 821178 971604 998593 1180818 1457406 1642356 1997186 2186109 2361636 2914812 2995779 3994372 4372218 5991558 8744436 8987337 11983116 17974674 26962011 35949348 53924022 80886033 107848044 161772066 323544132