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54340100 = 2252836547
BaseRepresentation
bin1100111101001…
…0101000000100
310210020202121022
43033102220010
5102402340400
65220410312
71226611643
oct317225004
9123222538
1054340100
1128745581
1216246998
13b347a09
14730735a
154b85b85
hex33d2a04

54340100 has 36 divisors (see below), whose sum is σ = 119356944. Its totient is φ = 21470880.

The previous prime is 54340067. The next prime is 54340103. The reversal of 54340100 is 104345.

It is not an unprimeable number, because it can be changed into a prime (54340103) 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 11 ways as a sum of consecutive naturals, for example, 5027 + ... + 11573.

Almost surely, 254340100 is an apocalyptic number.

54340100 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 54340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59678472).

54340100 is an abundant number, since it is smaller than the sum of its proper divisors (65016844).

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

54340100 is a wasteful number, since it uses less digits than its factorization.

54340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6644 (or 6637 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 54340100 is about 7371.5737804081. The cubic root of 54340100 is about 378.7681718200.

Adding to 54340100 its reverse (104345), we get a palindrome (54444445).

The spelling of 54340100 in words is "fifty-four million, three hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1660 2075 4150 6547 8300 13094 26188 32735 65470 130940 163675 327350 543401 654700 1086802 2173604 2717005 5434010 10868020 13585025 27170050 54340100