Search a number
-
+
27340968 = 23329163241
BaseRepresentation
bin110100001001…
…1000010101000
31220110001202110
41220103002220
523444402333
62414002320
7451252164
oct150230250
956401673
1027340968
1114484746
1291a63a0
1358838b5
1438b9ca4
152601063
hex1a130a8

27340968 has 64 divisors (see below), whose sum is σ = 71438400. Its totient is φ = 8709120.

The previous prime is 27340949. The next prime is 27340987. The reversal of 27340968 is 86904372.

It is an interprime number because it is at equal distance from previous prime (27340949) and next prime (27340987).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113328 + ... + 113568.

It is an arithmetic number, because the mean of its divisors is an integer number (1116225).

Almost surely, 227340968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27340968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35719200).

27340968 is an abundant number, since it is smaller than the sum of its proper divisors (44097432).

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

27340968 is a wasteful number, since it uses less digits than its factorization.

27340968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 27340968 is about 5228.8591489923. The cubic root of 27340968 is about 301.2575655085.

The spelling of 27340968 in words is "twenty-seven million, three hundred forty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 163 174 232 241 326 348 482 489 652 696 723 964 978 1304 1446 1928 1956 2892 3912 4727 5784 6989 9454 13978 14181 18908 20967 27956 28362 37816 39283 41934 55912 56724 78566 83868 113448 117849 157132 167736 235698 314264 471396 942792 1139207 2278414 3417621 4556828 6835242 9113656 13670484 27340968