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340554031104 = 2133718110937
BaseRepresentation
bin1001111010010101001…
…10100010000000000000
31012120000210111021001010
410331022212202000000
521034423312443404
6420240502440520
733414150334230
oct4751246420000
91176023437033
10340554031104
11121478966091
1256002a33140
1326163903411
14126a912bcc0
158cd2b33189
hex4f4a9a2000

340554031104 has 224 divisors, whose sum is σ = 1043644807296. Its totient is φ = 96754728960.

The previous prime is 340554031099. The next prime is 340554031141. The reversal of 340554031104 is 401130455043.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31132324 + ... + 31143260.

It is an arithmetic number, because the mean of its divisors is an integer number (4659128604).

Almost surely, 2340554031104 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 340554031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521822403648).

340554031104 is an abundant number, since it is smaller than the sum of its proper divisors (703090776192).

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

340554031104 is a wasteful number, since it uses less digits than its factorization.

340554031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11154 (or 11130 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 340554031104 its reverse (401130455043), we get a palindrome (741684486147).

The spelling of 340554031104 in words is "three hundred forty billion, five hundred fifty-four million, thirty-one thousand, one hundred four".