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27145344 = 273223317
BaseRepresentation
bin110011110001…
…1010010000000
31220002010102010
41213203102000
523422122334
62405452520
7446505642
oct147432200
956063363
1027145344
1114360776
129111140
135815845
143868892
1525b30e9
hex19e3480

27145344 has 64 divisors (see below), whose sum is σ = 72656640. Its totient is φ = 8979456.

The previous prime is 27145331. The next prime is 27145351. The reversal of 27145344 is 44354172.

It is a tau number, because it is divible by the number of its divisors (64).

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, 85474 + ... + 85790.

It is an arithmetic number, because the mean of its divisors is an integer number (1135260).

Almost surely, 227145344 is an apocalyptic number.

27145344 is a gapful number since it is divisible by the number (24) 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 27145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36328320).

27145344 is an abundant number, since it is smaller than the sum of its proper divisors (45511296).

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

27145344 is a wasteful number, since it uses less digits than its factorization.

27145344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 545 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 27145344 is about 5210.1193844287. The cubic root of 27145344 is about 300.5373480600.

The spelling of 27145344 in words is "twenty-seven million, one hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 223 317 384 446 634 669 892 951 1268 1338 1784 1902 2536 2676 3568 3804 5072 5352 7136 7608 10144 10704 14272 15216 20288 21408 28544 30432 40576 42816 60864 70691 85632 121728 141382 212073 282764 424146 565528 848292 1131056 1696584 2262112 3393168 4524224 6786336 9048448 13572672 27145344