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344300034012 = 223118935383023
BaseRepresentation
bin1010000001010011110…
…00011001011111011100
31012220200212020220222120
411000221320121133130
521120111302042022
6422100320342540
733606035000424
oct5005170313734
91186625226876
10344300034012
11123020436560
1256889474a50
132660ca12c9c
1412942845484
158e51934d5c
hex5029e197dc

344300034012 has 96 divisors (see below), whose sum is σ = 888768599040. Its totient is φ = 102867578880.

The previous prime is 344300034007. The next prime is 344300034049. The reversal of 344300034012 is 210430003443.

It is a super-2 number, since 2×3443000340122 (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 31 ways as a sum of consecutive naturals, for example, 4105533 + ... + 4188555.

It is an arithmetic number, because the mean of its divisors is an integer number (9258006240).

Almost surely, 2344300034012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344300034012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444384299520).

344300034012 is an abundant number, since it is smaller than the sum of its proper divisors (544468565028).

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

344300034012 is a wasteful number, since it uses less digits than its factorization.

344300034012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83483 (or 83481 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 344300034012 its reverse (210430003443), we get a palindrome (554730037455).

The spelling of 344300034012 in words is "three hundred forty-four billion, three hundred million, thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 89 132 178 267 353 356 534 706 979 1059 1068 1412 1958 2118 2937 3883 3916 4236 5874 7766 11649 11748 15532 23298 31417 46596 62834 83023 94251 125668 166046 188502 249069 332092 345587 377004 498138 691174 913253 996276 1036761 1382348 1826506 2073522 2739759 3653012 4147044 5479518 7389047 10959036 14778094 22167141 29307119 29556188 44334282 58614238 81279517 87921357 88668564 117228476 162559034 175842714 243838551 322378309 325118068 351685428 487677102 644756618 967134927 975354204 1289513236 1934269854 2608333591 3868539708 5216667182 7825000773 10433334364 15650001546 28691669501 31300003092 57383339002 86075008503 114766678004 172150017006 344300034012