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452328 = 23347401
BaseRepresentation
bin1101110011011101000
3211222110220
41232123220
5103433303
613410040
73562512
oct1563350
9758426
10452328
11289928
12199920
1312ab66
14babb2
158e053
hex6e6e8

452328 has 32 divisors (see below), whose sum is σ = 1157760. Its totient is φ = 147200.

The previous prime is 452297. The next prime is 452329. The reversal of 452328 is 823254.

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

It is a junction number, because it is equal to n+sod(n) for n = 452298 and 452307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452329) 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, 928 + ... + 1328.

It is an arithmetic number, because the mean of its divisors is an integer number (36180).

2452328 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 452328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578880).

452328 is an abundant number, since it is smaller than the sum of its proper divisors (705432).

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

452328 is a wasteful number, since it uses less digits than its factorization.

452328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 453 counting only the distinct ones).

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

The square root of 452328 is about 672.5533436093. The cubic root of 452328 is about 76.7628618183.

It can be divided in two parts, 452 and 328, that added together give a triangular number (780 = T39).

The spelling of 452328 in words is "four hundred fifty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 401 564 802 1128 1203 1604 2406 3208 4812 9624 18847 37694 56541 75388 113082 150776 226164 452328