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534400 = 2752167
BaseRepresentation
bin10000010011110000000
31000011001121
42002132000
5114100100
615242024
74354006
oct2023600
91004047
10534400
11335559
12219314
13159319
14dca76
15a851a
hex82780

534400 has 48 divisors (see below), whose sum is σ = 1328040. Its totient is φ = 212480.

The previous prime is 534371. The next prime is 534403. The reversal of 534400 is 4435.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 11.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3117 + ... + 3283.

2534400 is an apocalyptic number.

534400 is a gapful number since it is divisible by the number (50) 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 534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664020).

534400 is an abundant number, since it is smaller than the sum of its proper divisors (793640).

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

534400 is a wasteful number, since it uses less digits than its factorization.

534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

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

The square root of 534400 is about 731.0266752999. The cubic root of 534400 is about 81.1500546227.

Adding to 534400 its reverse (4435), we get a palindrome (538835).

The spelling of 534400 in words is "five hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 167 200 320 334 400 640 668 800 835 1336 1600 1670 2672 3200 3340 4175 5344 6680 8350 10688 13360 16700 21376 26720 33400 53440 66800 106880 133600 267200 534400