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334001311314 = 2311151173193723
BaseRepresentation
bin1001101110001000000…
…01111000111001010010
31011221010010101121100120
410313010001320321102
520433013313430224
6413234343131110
733062602206006
oct4670401707122
91157103347316
10334001311314
1111971603a790
1254894443a96
132565b184228
1412246b62706
158a4c71b779
hex4dc4078e52

334001311314 has 64 divisors (see below), whose sum is σ = 737800178688. Its totient is φ = 99960552000.

The previous prime is 334001311271. The next prime is 334001311373. The reversal of 334001311314 is 413113100433.

It is a super-2 number, since 2×3340013113142 (a number of 24 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1627257 + ... + 1820979.

It is an arithmetic number, because the mean of its divisors is an integer number (11528127792).

Almost surely, 2334001311314 is an apocalyptic number.

334001311314 is an abundant number, since it is smaller than the sum of its proper divisors (403798867374).

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

334001311314 is a wasteful number, since it uses less digits than its factorization.

334001311314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194063.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 334001311314 its reverse (413113100433), we get a palindrome (747114411747).

The spelling of 334001311314 in words is "three hundred thirty-four billion, one million, three hundred eleven thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 151 173 302 346 453 519 906 1038 1661 1903 3322 3806 4983 5709 9966 11418 26123 52246 78369 156738 193723 287353 387446 574706 581169 862059 1162338 1724118 2130953 4261906 6392859 12785718 29252173 33514079 58504346 67028158 87756519 100542237 175513038 201084474 321773903 368654869 643547806 737309738 965321709 1105964607 1930643418 2211929214 5060625929 10121251858 15181877787 30363755574 55666885219 111333770438 167000655657 334001311314