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334507027164 = 2231011453189949
BaseRepresentation
bin1001101111000100010…
…11000010101011011100
31011222102100222122002020
410313202023002223130
520440032244332124
6413400450300140
733111252550152
oct4674213025334
91158370878066
10334507027164
11119955550572
12549b5887650
132570bb8ab8b
1412293da53d2
158a7bd13379
hex4de22c2adc

334507027164 has 48 divisors (see below), whose sum is σ = 788790928800. Its totient is φ = 110321798400.

The previous prime is 334507027103. The next prime is 334507027207. The reversal of 334507027164 is 461720705433.

It is a super-2 number, since 2×3345070271642 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1666062 + ... + 1856010.

It is an arithmetic number, because the mean of its divisors is an integer number (16433144350).

Almost surely, 2334507027164 is an apocalyptic number.

It is an amenable number.

334507027164 is an abundant number, since it is smaller than the sum of its proper divisors (454283901636).

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

334507027164 is a wasteful number, since it uses less digits than its factorization.

334507027164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191510 (or 191508 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 334507027164 in words is "three hundred thirty-four billion, five hundred seven million, twenty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 101 202 303 404 606 1212 1453 2906 4359 5812 8718 17436 146753 189949 293506 379898 440259 569847 587012 759796 880518 1139694 1761036 2279388 19184849 38369698 57554547 76739396 115109094 230218188 275995897 551991794 827987691 1103983588 1655975382 3311950764 27875585597 55751171194 83626756791 111502342388 167253513582 334507027164