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27342441 = 3472832
BaseRepresentation
bin110100001001…
…1011001101001
31220110010210000
41220103121221
523444424231
62414013213
7451256400
oct150233151
956403700
1027342441
1114485865
1291a7209
135884479
1438ba637
1526016e6
hex1a13669

27342441 has 45 divisors (see below), whose sum is σ = 48092781. Its totient is φ = 15436008.

The previous prime is 27342433. The next prime is 27342461. The reversal of 27342441 is 14424372.

The square root of 27342441 is 5229.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 27342441 - 23 = 27342433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (5376) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (27342431) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 329386 + ... + 329468.

Almost surely, 227342441 is an apocalyptic number.

27342441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

27342441 is the 5229-th square number.

27342441 is the 2615-th centered octagonal number.

It is an amenable number.

27342441 is a deficient number, since it is larger than the sum of its proper divisors (20750340).

27342441 is an frugal number, since it uses more digits than its factorization.

27342441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 93 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The cubic root of 27342441 is about 301.2629755148.

The spelling of 27342441 in words is "twenty-seven million, three hundred forty-two thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 83 147 189 249 441 567 581 747 1323 1743 2241 3969 4067 5229 6723 6889 12201 15687 20667 36603 47061 48223 62001 109809 144669 186003 329427 337561 434007 558009 1012683 1302021 3038049 3906063 9114147 27342441