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324896 = 25111371
BaseRepresentation
bin1001111010100100000
3121111200012
41033110200
540344041
610544052
72522135
oct1172440
9544605
10324896
11202110
12138028
13b4b60
148658c
15663eb
hex4f520

324896 has 48 divisors (see below), whose sum is σ = 762048. Its totient is φ = 134400.

The previous prime is 324893. The next prime is 324901. The reversal of 324896 is 698423.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324893) 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, 4541 + ... + 4611.

It is an arithmetic number, because the mean of its divisors is an integer number (15876).

324896 is a Friedman number, since it can be written as (38*(9+6))^2-4, using all its digits and the basic arithmetic operations.

2324896 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 324896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381024).

324896 is an abundant number, since it is smaller than the sum of its proper divisors (437152).

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

324896 is a wasteful number, since it uses less digits than its factorization.

324896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 97 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 324896 is about 569.9964912173. The cubic root of 324896 is about 68.7461088707.

324896 divided by its sum of digits (32) gives a triangular number (10153 = T142).

The spelling of 324896 in words is "three hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 71 88 104 142 143 176 208 284 286 352 416 568 572 781 923 1136 1144 1562 1846 2272 2288 3124 3692 4576 6248 7384 10153 12496 14768 20306 24992 29536 40612 81224 162448 324896