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323135072 = 25133125057
BaseRepresentation
bin10011010000101…
…010011001100000
3211112000221222122
4103100222121200
51130210310242
652021523412
711002413521
oct2320523140
9745027878
10323135072
11156446187
1290273568
1351c3b1b0
1430cb6848
151d57dad2
hex1342a660

323135072 has 48 divisors (see below), whose sum is σ = 707236992. Its totient is φ = 144322560.

The previous prime is 323135053. The next prime is 323135077. The reversal of 323135072 is 270531323.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323135077) 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 7 ways as a sum of consecutive naturals, for example, 368 + ... + 25424.

It is an arithmetic number, because the mean of its divisors is an integer number (14734104).

Almost surely, 2323135072 is an apocalyptic number.

323135072 is a gapful number since it is divisible by the number (32) 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 323135072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353618496).

323135072 is an abundant number, since it is smaller than the sum of its proper divisors (384101920).

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

323135072 is a wasteful number, since it uses less digits than its factorization.

323135072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25111 (or 25103 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 323135072 is about 17975.9581663955. The cubic root of 323135072 is about 686.2168308780.

Adding to 323135072 its reverse (270531323), we get a palindrome (593666395).

The spelling of 323135072 in words is "three hundred twenty-three million, one hundred thirty-five thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 806 992 1612 3224 6448 12896 25057 50114 100228 200456 325741 400912 651482 776767 801824 1302964 1553534 2605928 3107068 5211856 6214136 10097971 10423712 12428272 20195942 24856544 40391884 80783768 161567536 323135072