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445400 = 235217131
BaseRepresentation
bin1101100101111011000
3211121222022
41230233120
5103223100
613314012
73533354
oct1545730
9747868
10445400
112846aa
12195908
13127967
14b8464
158be85
hex6cbd8

445400 has 48 divisors (see below), whose sum is σ = 1104840. Its totient is φ = 166400.

The previous prime is 445363. The next prime is 445427. The reversal of 445400 is 4544.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

445400 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 11 ways as a sum of consecutive naturals, for example, 3335 + ... + 3465.

2445400 is an apocalyptic number.

445400 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 445400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552420).

445400 is an abundant number, since it is smaller than the sum of its proper divisors (659440).

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

445400 is a wasteful number, since it uses less digits than its factorization.

445400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 445400 is about 667.3829485385. The cubic root of 445400 is about 76.3689355905.

Adding to 445400 its reverse (4544), we get a palindrome (449944).

The spelling of 445400 in words is "four hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 131 136 170 200 262 340 425 524 655 680 850 1048 1310 1700 2227 2620 3275 3400 4454 5240 6550 8908 11135 13100 17816 22270 26200 44540 55675 89080 111350 222700 445400