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323380 = 225192337
BaseRepresentation
bin1001110111100110100
3121102121001
41032330310
540322010
610533044
72514541
oct1167464
9542531
10323380
11200a62
12137184
13b4265
1485bc8
1565c3a
hex4ef34

323380 has 48 divisors (see below), whose sum is σ = 766080. Its totient is φ = 114048.

The previous prime is 323377. The next prime is 323381. The reversal of 323380 is 83323.

323380 = T111 + T112 + ... + T148.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323381) 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 15 ways as a sum of consecutive naturals, for example, 8722 + ... + 8758.

It is an arithmetic number, because the mean of its divisors is an integer number (15960).

2323380 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 323380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383040).

323380 is an abundant number, since it is smaller than the sum of its proper divisors (442700).

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

323380 is a wasteful number, since it uses less digits than its factorization.

323380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 323380 is about 568.6651035539. The cubic root of 323380 is about 68.6390165275.

323380 divided by its sum of digits (19) gives a triangular number (17020 = T184).

It can be divided in two parts, 323 and 380, that added together give a triangular number (703 = T37).

The spelling of 323380 in words is "three hundred twenty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 19 20 23 37 38 46 74 76 92 95 115 148 185 190 230 370 380 437 460 703 740 851 874 1406 1702 1748 2185 2812 3404 3515 4255 4370 7030 8510 8740 14060 16169 17020 32338 64676 80845 161690 323380