Search a number
-
+
242011296 = 25323127107
BaseRepresentation
bin11100110110011…
…00110010100000
3121212101110002100
432123030302200
5443423330141
640003050400
75666030202
oct1633146240
9555343070
10242011296
1111467773a
1269070a00
133b1a6467
14241da772
15163a70b6
hexe6ccca0

242011296 has 72 divisors (see below), whose sum is σ = 710446464. Its totient is φ = 78065280.

The previous prime is 242011229. The next prime is 242011307. The reversal of 242011296 is 692110242.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4626 + ... + 22481.

It is an arithmetic number, because the mean of its divisors is an integer number (9867312).

Almost surely, 2242011296 is an apocalyptic number.

It is an amenable number.

242011296 is an abundant number, since it is smaller than the sum of its proper divisors (468435168).

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

242011296 is a wasteful number, since it uses less digits than its factorization.

242011296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27154 (or 27143 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 242011296 is about 15556.7122490583. The cubic root of 242011296 is about 623.1776642990.

The spelling of 242011296 in words is "two hundred forty-two million, eleven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 27107 54214 81321 108428 162642 216856 243963 325284 433712 487926 650568 840317 867424 975852 1301136 1680634 1951704 2520951 2602272 3361268 3903408 5041902 6722536 7562853 7806816 10083804 13445072 15125706 20167608 26890144 30251412 40335216 60502824 80670432 121005648 242011296