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334002030243252 = 223722942511930429
BaseRepresentation
bin100101111110001011110100…
…0010111011110110110110100
31121210121021121202121002102220
41023330113220113132312310
5322234242124220241002
63142210225304402340
7130231564450025100
oct11374275027366664
91553537552532386
10334002030243252
1197472513725a28
12315639b81763b0
131144a344145757
145c69adaa10900
15289325c97b7bc
hex12fc5e85dedb4

334002030243252 has 72 divisors (see below), whose sum is σ = 906580489822560. Its totient is φ = 95428777752000.

The previous prime is 334002030243227. The next prime is 334002030243359. The reversal of 334002030243252 is 252342030200433.

It is a happy number.

It is a super-3 number, since 3×3340020302432523 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172054374 + ... + 173984802.

It is an arithmetic number, because the mean of its divisors is an integer number (12591395691980).

Almost surely, 2334002030243252 is an apocalyptic number.

It is an amenable number.

334002030243252 is an abundant number, since it is smaller than the sum of its proper divisors (572578459579308).

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

334002030243252 is a wasteful number, since it uses less digits than its factorization.

334002030243252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224701 (or 2224692 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 33.

Adding to 334002030243252 its reverse (252342030200433), we get a palindrome (586344060443685).

The spelling of 334002030243252 in words is "three hundred thirty-four trillion, two billion, thirty million, two hundred forty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 294251 588502 882753 1177004 1765506 1930429 2059757 3531012 3860858 4119514 5791287 6179271 7721716 8239028 11582574 12358542 13513003 14418299 23165148 24717084 27026006 28836598 40539009 43254897 54052012 57673196 81078018 86509794 94591021 162156036 173019588 189182042 283773063 378364084 567546126 1135092252 568030663679 1136061327358 1704091991037 2272122654716 3408183982074 3976214645753 6816367964148 7952429291506 11928643937259 15904858583012 23857287874518 27833502520271 47714575749036 55667005040542 83500507560813 111334010081084 167001015121626 334002030243252