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338095223432 = 23167212312
BaseRepresentation
bin1001110101110000000…
…10111011001010001000
31012022200102210220000022
410322320002323022020
521014404334122212
6415152510000012
733266212660601
oct4727002731210
91168612726008
10338095223432
11120426a3752a
12556374a6008
1325b61397435
1412514760da8
158bdbd42772
hex4eb80bb288

338095223432 has 36 divisors (see below), whose sum is σ = 638265747015. Its totient is φ = 167898847440.

The previous prime is 338095223393. The next prime is 338095223489. The reversal of 338095223432 is 234322590833.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 169047611716 + 169047611716 = 411154^2 + 411154^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=411154.

It is a super-2 number, since 2×3380952234322 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 274650257 + ... + 274651487.

Almost surely, 2338095223432 is an apocalyptic number.

It is an amenable number.

338095223432 is a deficient number, since it is larger than the sum of its proper divisors (300170523583).

338095223432 is an frugal number, since it uses more digits than its factorization.

338095223432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 44.

The spelling of 338095223432 in words is "three hundred thirty-eight billion, ninety-five million, two hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 167 334 668 1231 1336 2462 4924 9848 27889 55778 111556 205577 223112 411154 822308 1515361 1644616 3030722 6061444 12122888 34331359 68662718 137325436 253065287 274650872 506130574 1012261148 2024522296 42261902929 84523805858 169047611716 338095223432