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338085589400 = 235213130032919
BaseRepresentation
bin1001110101101110111…
…10001011000110011000
31012022122202200102121022
410322313132023012120
521014344402330100
6415151523302012
733266035044206
oct4726736130630
91168582612538
10338085589400
11120421557319
125563421a908
1325b5c3a3320
1412513374076
158bdb08ce85
hex4eb778b198

338085589400 has 48 divisors (see below), whose sum is σ = 846514309200. Its totient is φ = 124831601280.

The previous prime is 338085589379. The next prime is 338085589459. The reversal of 338085589400 is 4985580833.

It is a super-2 number, since 2×3380855894002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65013860 + ... + 65019059.

It is an arithmetic number, because the mean of its divisors is an integer number (17635714775).

Almost surely, 2338085589400 is an apocalyptic number.

It is an amenable number.

338085589400 is an abundant number, since it is smaller than the sum of its proper divisors (508428719800).

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

338085589400 is a wasteful number, since it uses less digits than its factorization.

338085589400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130032948 (or 130032939 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 53.

The spelling of 338085589400 in words is "three hundred thirty-eight billion, eighty-five million, five hundred eighty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 130032919 260065838 520131676 650164595 1040263352 1300329190 1690427947 2600658380 3250822975 3380855894 5201316760 6501645950 6761711788 8452139735 13003291900 13523423576 16904279470 26006583800 33808558940 42260698675 67617117880 84521397350 169042794700 338085589400