Search a number
-
+
242334120 = 23357288493
BaseRepresentation
bin11100111000110…
…11100110101000
3121212222211220210
432130123212220
5444014142440
640014021120
76001543320
oct1634334650
9555884823
10242334120
11114878236
12691a77a0
133b28a392
1424282280
151641ca80
hexe71b9a8

242334120 has 64 divisors (see below), whose sum is σ = 830862720. Its totient is φ = 55390464.

The previous prime is 242334101. The next prime is 242334139. The reversal of 242334120 is 21433242.

It is an interprime number because it is at equal distance from previous prime (242334101) and next prime (242334139).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 143407 + ... + 145086.

It is an arithmetic number, because the mean of its divisors is an integer number (12982230).

Almost surely, 2242334120 is an apocalyptic number.

242334120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242334120 is an abundant number, since it is smaller than the sum of its proper divisors (588528600).

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

242334120 is a wasteful number, since it uses less digits than its factorization.

242334120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288514 (or 288510 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 242334120 is about 15567.0845054557. The cubic root of 242334120 is about 623.4546311522.

Adding to 242334120 its reverse (21433242), we get a palindrome (263767362).

The spelling of 242334120 in words is "two hundred forty-two million, three hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 288493 576986 865479 1153972 1442465 1730958 2019451 2307944 2884930 3461916 4038902 4327395 5769860 6058353 6923832 8077804 8654790 10097255 11539720 12116706 16155608 17309580 20194510 24233412 30291765 34619160 40389020 48466824 60583530 80778040 121167060 242334120