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338235648 = 2833711903
BaseRepresentation
bin10100001010010…
…001000100000000
3212120110011002020
4110022101010000
51143042020043
653321321440
711244645522
oct2412210400
9776404066
10338235648
11163a1a4a3
1295336280
13550c754a
1432cc7a12
151ea62e83
hex14291100

338235648 has 72 divisors (see below), whose sum is σ = 924607488. Its totient is φ = 109688832.

The previous prime is 338235643. The next prime is 338235659. The reversal of 338235648 is 846532833.

It is a happy number.

It is a super-2 number, since 2×3382356482 = 228806707155959808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338235643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22465 + ... + 34367.

Almost surely, 2338235648 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 338235648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462303744).

338235648 is an abundant number, since it is smaller than the sum of its proper divisors (586371840).

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

338235648 is a wasteful number, since it uses less digits than its factorization.

338235648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11959 (or 11945 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 338235648 is about 18391.1839749376. The cubic root of 338235648 is about 696.7438209868.

The spelling of 338235648 in words is "three hundred thirty-eight million, two hundred thirty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 768 888 1184 1776 2368 3552 4736 7104 9472 11903 14208 23806 28416 35709 47612 71418 95224 142836 190448 285672 380896 440411 571344 761792 880822 1142688 1321233 1523584 1761644 2285376 2642466 3047168 3523288 4570752 5284932 7046576 9141504 10569864 14093152 21139728 28186304 42279456 56372608 84558912 112745216 169117824 338235648