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245328 = 24319269
BaseRepresentation
bin111011111001010000
3110110112020
4323321100
530322303
65131440
72041146
oct737120
9413466
10245328
11158356
12b9b80
1387885
1465596
154ca53
hex3be50

245328 has 40 divisors (see below), whose sum is σ = 669600. Its totient is φ = 77184.

The previous prime is 245321. The next prime is 245339. The reversal of 245328 is 823542.

245328 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 216 + 47 + 39 + 57 + 216 + 82 .

It is a junction number, because it is equal to n+sod(n) for n = 245298 and 245307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 778 + ... + 1046.

It is an arithmetic number, because the mean of its divisors is an integer number (16740).

2245328 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 245328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334800).

245328 is an abundant number, since it is smaller than the sum of its proper divisors (424272).

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

245328 is a wasteful number, since it uses less digits than its factorization.

245328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 245328 is about 495.3059660452. The cubic root of 245328 is about 62.6011588485.

The spelling of 245328 in words is "two hundred forty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 269 304 456 538 807 912 1076 1614 2152 3228 4304 5111 6456 10222 12912 15333 20444 30666 40888 61332 81776 122664 245328