Search a number
-
+
338873352 = 233232921169
BaseRepresentation
bin10100001100101…
…100110000001000
3212121122112211220
4110030230300020
51143222421402
653343122040
711253242646
oct2414546010
9777575756
10338873352
11164315624
12955a3320
135528b89c
1433012196
151eb3bdbc
hex1432cc08

338873352 has 64 divisors (see below), whose sum is σ = 914544000. Its totient is φ = 104315904.

The previous prime is 338873351. The next prime is 338873363. The reversal of 338873352 is 253378833.

It is a super-2 number, since 2×3388733522 = 229670297391431808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338873351) 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, 5424 + ... + 26592.

It is an arithmetic number, because the mean of its divisors is an integer number (14289750).

Almost surely, 2338873352 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 338873352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457272000).

338873352 is an abundant number, since it is smaller than the sum of its proper divisors (575670648).

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

338873352 is a wasteful number, since it uses less digits than its factorization.

338873352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21230 (or 21226 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 338873352 is about 18408.5130306606. The cubic root of 338873352 is about 697.1814225828.

The spelling of 338873352 in words is "three hundred thirty-eight million, eight hundred seventy-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 174 184 232 276 348 552 667 696 1334 2001 2668 4002 5336 8004 16008 21169 42338 63507 84676 127014 169352 254028 486887 508056 613901 973774 1227802 1460661 1841703 1947548 2455604 2921322 3683406 3895096 4911208 5842644 7366812 11685288 14119723 14733624 28239446 42359169 56478892 84718338 112957784 169436676 338873352