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27301344 = 253740627
BaseRepresentation
bin110100000100…
…1010111100000
31220101001101220
41220021113200
523442120334
62413055040
7451025520
oct150112740
956331356
1027301344
11144579a4
129187480
13586b855
1438a9680
1525e4449
hex1a095e0

27301344 has 48 divisors (see below), whose sum is σ = 81906048. Its totient is φ = 7800192.

The previous prime is 27301333. The next prime is 27301357. The reversal of 27301344 is 44310372.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19642 + ... + 20985.

It is an arithmetic number, because the mean of its divisors is an integer number (1706376).

Almost surely, 227301344 is an apocalyptic number.

27301344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27301344 is an abundant number, since it is smaller than the sum of its proper divisors (54604704).

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

27301344 is a wasteful number, since it uses less digits than its factorization.

27301344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40647 (or 40639 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 27301344 is about 5225.0688033747. The cubic root of 27301344 is about 301.1119622631. Note that the first 3 decimals are identical.

Subtracting 27301344 from its reverse (44310372), we obtain a triangular number (17009028 = T5832).

The spelling of 27301344 in words is "twenty-seven million, three hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 40627 81254 121881 162508 243762 284389 325016 487524 568778 650032 853167 975048 1137556 1300064 1706334 1950096 2275112 3412668 3900192 4550224 6825336 9100448 13650672 27301344