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450340 = 225112389
BaseRepresentation
bin1101101111100100100
3211212202021
41231330210
5103402330
613352524
73553642
oct1557444
9755667
10450340
11288390
12198744
13129c97
14ba192
158d67a
hex6df24

450340 has 48 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 154880.

The previous prime is 450311. The next prime is 450343. The reversal of 450340 is 43054.

It is a super-2 number, since 2×4503402 = 405612231200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (450343) by changing a digit.

450340 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 5016 + ... + 5104.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2450340 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 450340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

450340 is an abundant number, since it is smaller than the sum of its proper divisors (638300).

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

450340 is a wasteful number, since it uses less digits than its factorization.

450340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 450340 is about 671.0737664370. The cubic root of 450340 is about 76.6502380257.

Adding to 450340 its reverse (43054), we get a palindrome (493394).

The spelling of 450340 in words is "four hundred fifty thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 89 92 110 115 178 220 230 253 356 445 460 506 890 979 1012 1265 1780 1958 2047 2530 3916 4094 4895 5060 8188 9790 10235 19580 20470 22517 40940 45034 90068 112585 225170 450340