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338130432 = 293273379
BaseRepresentation
bin10100001001110…
…111011000000000
3212120020210202100
4110021313120000
51143030133212
653315150400
711244030003
oct2411673000
9776223670
10338130432
11163958442
12952a5400
135508b6a3
1432c9b53a
151ea41bdc
hex14277600

338130432 has 60 divisors (see below), whose sum is σ = 975880620. Its totient is φ = 112708608.

The previous prime is 338130409. The next prime is 338130433. The reversal of 338130432 is 234031833.

It is a super-2 number, since 2×3381304322 = 228664378089013248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338130396 and 338130405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338130433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32082 + ... + 41297.

It is an arithmetic number, because the mean of its divisors is an integer number (16264677).

Almost surely, 2338130432 is an apocalyptic number.

338130432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

338130432 is an abundant number, since it is smaller than the sum of its proper divisors (637750188).

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

338130432 is an equidigital number, since it uses as much as digits as its factorization.

338130432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73403 (or 73384 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 338130432 is about 18388.3232514550. The cubic root of 338130432 is about 696.6715674154.

The spelling of 338130432 in words is "three hundred thirty-eight million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 73379 146758 220137 293516 440274 587032 660411 880548 1174064 1320822 1761096 2348128 2641644 3522192 4696256 5283288 7044384 9392512 10566576 14088768 18785024 21133152 28177536 37570048 42266304 56355072 84532608 112710144 169065216 338130432