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27434320 = 245342929
BaseRepresentation
bin110100010100…
…1110101010000
31220121210210221
41220221311100
524010344240
62420002424
7452121304
oct150516520
956553727
1027434320
11145388a1
129230414
1358b7234
143901d04
15261da4a
hex1a29d50

27434320 has 20 divisors (see below), whose sum is σ = 63784980. Its totient is φ = 10973696.

The previous prime is 27434317. The next prime is 27434321. The reversal of 27434320 is 2343472.

It can be written as a sum of positive squares in 2 ways, for example, as 17774656 + 9659664 = 4216^2 + 3108^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27434321) 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 3 ways as a sum of consecutive naturals, for example, 171385 + ... + 171544.

It is an arithmetic number, because the mean of its divisors is an integer number (3189249).

Almost surely, 227434320 is an apocalyptic number.

27434320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27434320 is an abundant number, since it is smaller than the sum of its proper divisors (36350660).

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

27434320 is a wasteful number, since it uses less digits than its factorization.

27434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342942 (or 342936 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 25.

The square root of 27434320 is about 5237.7781549050. The cubic root of 27434320 is about 301.6000436223.

Adding to 27434320 its reverse (2343472), we get a palindrome (29777792).

The spelling of 27434320 in words is "twenty-seven million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 342929 685858 1371716 1714645 2743432 3429290 5486864 6858580 13717160 27434320