Search a number
-
+
27344130 = 23511414347
BaseRepresentation
bin110100001001…
…1110100000010
31220110020002120
41220103310002
524000003010
62414025110
7451264332
oct150236402
956406076
1027344130
1114487060
1291a8196
135885178
1438bb0c2
152601e70
hex1a13d02

27344130 has 128 divisors (see below), whose sum is σ = 76640256. Its totient is φ = 6182400.

The previous prime is 27344117. The next prime is 27344153. The reversal of 27344130 is 3144372.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 27344130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 581767 + ... + 581813.

It is an arithmetic number, because the mean of its divisors is an integer number (598752).

Almost surely, 227344130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27344130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38320128).

27344130 is an abundant number, since it is smaller than the sum of its proper divisors (49296126).

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

27344130 is a wasteful number, since it uses less digits than its factorization.

27344130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152.

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

The square root of 27344130 is about 5229.1615006615. The cubic root of 27344130 is about 301.2691786026.

The spelling of 27344130 in words is "twenty-seven million, three hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 43 47 55 66 82 86 94 110 123 129 141 165 205 215 235 246 258 282 330 410 430 451 470 473 517 615 645 705 902 946 1034 1230 1290 1353 1410 1419 1551 1763 1927 2021 2255 2365 2585 2706 2838 3102 3526 3854 4042 4510 4730 5170 5289 5781 6063 6765 7095 7755 8815 9635 10105 10578 11562 12126 13530 14190 15510 17630 19270 19393 20210 21197 22231 26445 28905 30315 38786 42394 44462 52890 57810 58179 60630 63591 66693 82861 96965 105985 111155 116358 127182 133386 165722 193930 211970 222310 248583 290895 317955 333465 414305 497166 581790 635910 666930 828610 911471 1242915 1822942 2485830 2734413 4557355 5468826 9114710 13672065 27344130