Search a number
-
+
338238252 = 2232112929453
BaseRepresentation
bin10100001010010…
…001101100101100
3212120110021122200
4110022101230230
51143042111002
653321341500
711244656232
oct2412215454
9776407580
10338238252
11163a21450
1295337890
13550c87a1
1432cc8952
151ea63b1c
hex14291b2c

338238252 has 72 divisors (see below), whose sum is σ = 964913040. Its totient is φ = 98958720.

The previous prime is 338238217. The next prime is 338238269. The reversal of 338238252 is 252832833.

It is a happy number.

It is a super-2 number, since 2×3382382522 = 228810230232031008, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3243 + ... + 26210.

It is an arithmetic number, because the mean of its divisors is an integer number (13401570).

Almost surely, 2338238252 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 338238252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482456520).

338238252 is an abundant number, since it is smaller than the sum of its proper divisors (626674788).

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

338238252 is a wasteful number, since it uses less digits than its factorization.

338238252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29503 (or 29498 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 338238252 is about 18391.2547695909. The cubic root of 338238252 is about 696.7456090067.

The spelling of 338238252 in words is "three hundred thirty-eight million, two hundred thirty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1914 2871 3828 5742 11484 29453 58906 88359 117812 176718 265077 323983 353436 530154 647966 854137 971949 1060308 1295932 1708274 1943898 2562411 2915847 3416548 3887796 5124822 5831694 7687233 9395507 10249644 11663388 15374466 18791014 28186521 30748932 37582028 56373042 84559563 112746084 169119126 338238252