Search a number
-
+
338864058 = 232135032879
BaseRepresentation
bin10100001100101…
…010011110111010
3212121122002002200
4110030222132322
51143222122213
653343011030
711253203601
oct2414523672
9777562080
10338864058
11164309645
1295599a76
13552875a0
143300ca38
151eb39273
hex1432a7ba

338864058 has 48 divisors (see below), whose sum is σ = 792529920. Its totient is φ = 104022432.

The previous prime is 338864051. The next prime is 338864059. The reversal of 338864058 is 850468833.

It is a super-2 number, since 2×3388640582 = 229657699608454728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338864051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116263 + ... + 119141.

It is an arithmetic number, because the mean of its divisors is an integer number (16511040).

Almost surely, 2338864058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338864058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396264960).

338864058 is an abundant number, since it is smaller than the sum of its proper divisors (453665862).

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

338864058 is a wasteful number, since it uses less digits than its factorization.

338864058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 338864058 is about 18408.2605913758. The cubic root of 338864058 is about 697.1750488512.

The spelling of 338864058 in words is "three hundred thirty-eight million, eight hundred sixty-four thousand, fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 503 1006 1509 2879 3018 4527 5758 6539 8637 9054 13078 17274 19617 25911 37427 39234 51822 58851 74854 112281 117702 224562 336843 673686 1448137 2896274 4344411 8688822 13033233 18825781 26066466 37651562 56477343 112954686 169432029 338864058