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338230272 = 2103234787
BaseRepresentation
bin10100001010001…
…111110000000000
3212120102212201010
4110022033300000
51143041332042
653321240520
711244624042
oct2412176000
9776385633
10338230272
11163a16456
1295333140
13550c4c73
1432cc5a92
151ea6159c
hex1428fc00

338230272 has 88 divisors (see below), whose sum is σ = 940899456. Its totient is φ = 107819008.

The previous prime is 338230261. The next prime is 338230273. The reversal of 338230272 is 272032833.

It is a super-2 number, since 2×3382302722 = 228799433794387968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338230273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68263 + ... + 73049.

Almost surely, 2338230272 is an apocalyptic number.

338230272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338230272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470449728).

338230272 is an abundant number, since it is smaller than the sum of its proper divisors (602669184).

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

338230272 is a wasteful number, since it uses less digits than its factorization.

338230272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4833 (or 4815 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 338230272 is about 18391.0378173718. The cubic root of 338230272 is about 696.7401295617.

The spelling of 338230272 in words is "three hundred thirty-eight million, two hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1024 1104 1472 1536 2208 2944 3072 4416 4787 5888 8832 9574 11776 14361 17664 19148 23552 28722 35328 38296 57444 70656 76592 110101 114888 153184 220202 229776 306368 330303 440404 459552 612736 660606 880808 919104 1225472 1321212 1761616 1838208 2450944 2642424 3523232 3676416 4901888 5284848 7046464 7352832 10569696 14092928 14705664 21139392 28185856 42278784 56371712 84557568 112743424 169115136 338230272