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334790689321 = 11223222872
BaseRepresentation
bin1001101111100110001…
…01001000001000101001
31012000011010202011102001
410313303011020020221
520441122404024241
6413444542211001
733121265622424
oct4676305101051
91160133664361
10334790689321
11119a90686100
1254a74883a61
13257558883ca
14122bd9249bb
158a96b96431
hex4df3148229

334790689321 has 27 divisors (see below), whose sum is σ = 384856689693. Its totient is φ = 290995044120.

The previous prime is 334790689313. The next prime is 334790689351. The reversal of 334790689321 is 123986097433.

The square root of 334790689321 is 578611.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 334790689321 - 23 = 334790689313 is a prime.

It is a super-2 number, since 2×3347906893212 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (334790689301) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 146387440 + ... + 146389726.

Almost surely, 2334790689321 is an apocalyptic number.

334790689321 is the 578611-st square number.

334790689321 is the 289306-th centered octagonal number.

It is an amenable number.

334790689321 is a deficient number, since it is larger than the sum of its proper divisors (50066000372).

334790689321 is an frugal number, since it uses more digits than its factorization.

334790689321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 55.

The spelling of 334790689321 in words is "three hundred thirty-four billion, seven hundred ninety million, six hundred eighty-nine thousand, three hundred twenty-one".

Divisors: 1 11 23 121 253 529 2287 2783 5819 25157 52601 64009 276727 578611 1209823 5230369 6364721 13308053 57534059 120298487 146388583 632874649 1323283357 2766865201 14556116927 30435517211 334790689321