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54434304 = 293211813
BaseRepresentation
bin1100111110100…
…1101000000000
310210102112211100
43033221220000
5102413344204
65222414400
71230453411
oct317515000
9123375740
1054434304
11287aa331
1216291400
13b37b862
14732d808
154ba3a39
hex33e9a00

54434304 has 60 divisors (see below), whose sum is σ = 157114386. Its totient is φ = 18143232.

The previous prime is 54434293. The next prime is 54434309. The reversal of 54434304 is 40343445.

It can be written as a sum of positive squares in only one way, i.e., 48441600 + 5992704 = 6960^2 + 2448^2 .

It is not an unprimeable number, because it can be changed into a prime (54434309) 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 5 ways as a sum of consecutive naturals, for example, 1299 + ... + 10514.

Almost surely, 254434304 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 54434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78557193).

54434304 is an abundant number, since it is smaller than the sum of its proper divisors (102680082).

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

54434304 is a wasteful number, since it uses less digits than its factorization.

54434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11837 (or 11818 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 54434304 is about 7377.9606938503. The cubic root of 54434304 is about 378.9869229667.

Adding to 54434304 its reverse (40343445), we get a palindrome (94777749).

The spelling of 54434304 in words is "fifty-four million, four hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 11813 23626 35439 47252 70878 94504 106317 141756 189008 212634 283512 378016 425268 567024 756032 850536 1134048 1512064 1701072 2268096 3024128 3402144 4536192 6048256 6804288 9072384 13608576 18144768 27217152 54434304