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453440 = 26513109
BaseRepresentation
bin1101110101101000000
3212001000002
41232231000
5104002230
613415132
73565661
oct1565500
9761002
10453440
1128a749
1219a4a8
1312b510
14bb368
158e545
hex6eb40

453440 has 56 divisors (see below), whose sum is σ = 1173480. Its totient is φ = 165888.

The previous prime is 453421. The next prime is 453451. The reversal of 453440 is 44354.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23104 + 430336 = 152^2 + 656^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4106 + ... + 4214.

It is an arithmetic number, because the mean of its divisors is an integer number (20955).

2453440 is an apocalyptic number.

453440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586740).

453440 is an abundant number, since it is smaller than the sum of its proper divisors (720040).

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

453440 is a wasteful number, since it uses less digits than its factorization.

453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 453440 is about 673.3795363686. The cubic root of 453440 is about 76.8257147687.

Adding to 453440 its reverse (44354), we get a palindrome (497794).

The spelling of 453440 in words is "four hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 109 130 160 208 218 260 320 416 436 520 545 832 872 1040 1090 1417 1744 2080 2180 2834 3488 4160 4360 5668 6976 7085 8720 11336 14170 17440 22672 28340 34880 45344 56680 90688 113360 226720 453440