Search a number
-
+
338258052 = 223311284729
BaseRepresentation
bin10100001010010…
…110100010000100
3212120111021211000
4110022112202010
51143043224202
653322013300
711245101036
oct2412264204
9776437730
10338258052
11163a35310
1295347230
13551047c2
1432cd1c56
151ea6991c
hex14296884

338258052 has 48 divisors (see below), whose sum is σ = 956692800. Its totient is φ = 102502080.

The previous prime is 338258051. The next prime is 338258071. The reversal of 338258052 is 250852833.

It is a super-2 number, since 2×3382580522 = 228837019485669408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 338257998 and 338258016.

It is not an unprimeable number, because it can be changed into a prime (338258051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141177 + ... + 143552.

It is an arithmetic number, because the mean of its divisors is an integer number (19931100).

Almost surely, 2338258052 is an apocalyptic number.

It is an amenable number.

338258052 is an abundant number, since it is smaller than the sum of its proper divisors (618434748).

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

338258052 is a wasteful number, since it uses less digits than its factorization.

338258052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284753 (or 284745 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 338258052 is about 18391.7930610368. The cubic root of 338258052 is about 696.7592042499.

The spelling of 338258052 in words is "three hundred thirty-eight million, two hundred fifty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 284729 569458 854187 1138916 1708374 2562561 3132019 3416748 5125122 6264038 7687683 9396057 10250244 12528076 15375366 18792114 28188171 30750732 37584228 56376342 84564513 112752684 169129026 338258052