Search a number
-
+
339526242 = 23411217321
BaseRepresentation
bin10100001111001…
…100001001100010
3212122212201110000
4110033030021202
51143404314432
653405120430
711261632266
oct2417141142
9778781400
10339526242
11164721100
1295859116
1355459b03
14331420a6
151ec1a57c
hex143cc262

339526242 has 60 divisors (see below), whose sum is σ = 836288838. Its totient is φ = 102880800.

The previous prime is 339526223. The next prime is 339526277. The reversal of 339526242 is 242625933.

It is a happy number.

339526242 is a `hidden beast` number, since 3 + 395 + 26 + 242 = 666.

It can be written as a sum of positive squares in only one way, i.e., 314033841 + 25492401 = 17721^2 + 5049^2 .

It is a junction number, because it is equal to n+sod(n) for n = 339526197 and 339526206.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 10942 + ... + 28262.

Almost surely, 2339526242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339526242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418144419).

339526242 is an abundant number, since it is smaller than the sum of its proper divisors (496762596).

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

339526242 is a wasteful number, since it uses less digits than its factorization.

339526242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17357 (or 17337 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 339526242 is about 18426.2378688651. The cubic root of 339526242 is about 697.6288766370.

The spelling of 339526242 in words is "three hundred thirty-nine million, five hundred twenty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 297 363 594 726 891 1089 1782 2178 3267 6534 9801 17321 19602 34642 51963 103926 155889 190531 311778 381062 467667 571593 935334 1143186 1403001 1714779 2095841 2806002 3429558 4191682 5144337 6287523 10288674 12575046 15433011 18862569 30866022 37725138 56587707 113175414 169763121 339526242