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340400503120 = 2454255006289
BaseRepresentation
bin1001111010000010111…
…00110111100101010000
31012112122002121020020111
410331001130313211100
521034120012044440
6420213340051104
733410304351616
oct4750134674520
91175562536214
10340400503120
111213aa234257
1255b7b533a94
132613ab6a762
14126929a56b6
158cc44084ea
hex4f41737950

340400503120 has 20 divisors (see below), whose sum is σ = 791431169940. Its totient is φ = 136160201216.

The previous prime is 340400503081. The next prime is 340400503141. The reversal of 340400503120 is 21305004043.

It can be written as a sum of positive squares in 2 ways, for example, as 99598310464 + 240802192656 = 315592^2 + 490716^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 340400503091 and 340400503100.

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 3 ways as a sum of consecutive naturals, for example, 2127503065 + ... + 2127503224.

It is an arithmetic number, because the mean of its divisors is an integer number (39571558497).

Almost surely, 2340400503120 is an apocalyptic number.

It is an amenable number.

340400503120 is an abundant number, since it is smaller than the sum of its proper divisors (451030666820).

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

340400503120 is a wasteful number, since it uses less digits than its factorization.

340400503120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4255006302 (or 4255006296 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 340400503120 its reverse (21305004043), we get a palindrome (361705507163).

The spelling of 340400503120 in words is "three hundred forty billion, four hundred million, five hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4255006289 8510012578 17020025156 21275031445 34040050312 42550062890 68080100624 85100125780 170200251560 340400503120