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338480340 = 223511512849
BaseRepresentation
bin10100001011001…
…100110011010100
3212120220120201220
4110023030303110
51143122332330
653330450340
711250015102
oct2413146324
9776816656
10338480340
11164077320
12954339b0
1355181a33
1432d4cc72
151eab0710
hex142cccd4

338480340 has 48 divisors (see below), whose sum is σ = 1033905600. Its totient is φ = 82055680.

The previous prime is 338480309. The next prime is 338480347. The reversal of 338480340 is 43084833.

It is a super-2 number, since 2×3384803402 = 229137881133031200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338480347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255765 + ... + 257084.

It is an arithmetic number, because the mean of its divisors is an integer number (21539700).

Almost surely, 2338480340 is an apocalyptic number.

338480340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338480340 is an abundant number, since it is smaller than the sum of its proper divisors (695425260).

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

338480340 is a wasteful number, since it uses less digits than its factorization.

338480340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512872 (or 512870 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 338480340 is about 18397.8351987401. The cubic root of 338480340 is about 696.9117971145.

The spelling of 338480340 in words is "three hundred thirty-eight million, four hundred eighty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 512849 1025698 1538547 2051396 2564245 3077094 5128490 5641339 6154188 7692735 10256980 11282678 15385470 16924017 22565356 28206695 30770940 33848034 56413390 67696068 84620085 112826780 169240170 338480340