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340010000441320 = 23511772750001003
BaseRepresentation
bin100110101001111001011111…
…1010010111101111111101000
31122120212122020112110122200011
41031103302333102331333220
5324031210440103110240
63203050234324421304
7131421624530064316
oct11523627722757750
91576778215418604
10340010000441320
1199379482230130
1232174271247834
1311794a617b2881
145dd680114b0b6
1529496914c46ea
hex1353cbf4bdfe8

340010000441320 has 32 divisors (see below), whose sum is σ = 834570001084320. Its totient is φ = 123640000160320.

The previous prime is 340010000441257. The next prime is 340010000441329. The reversal of 340010000441320 is 23144000010043.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 340010000441291 and 340010000441300.

It is not an unprimeable number, because it can be changed into a prime (340010000441329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 386375000062 + ... + 386375000941.

It is an arithmetic number, because the mean of its divisors is an integer number (26080312533885).

Almost surely, 2340010000441320 is an apocalyptic number.

It is an amenable number.

340010000441320 is an abundant number, since it is smaller than the sum of its proper divisors (494560000643000).

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

340010000441320 is a wasteful number, since it uses less digits than its factorization.

340010000441320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772750001025 (or 772750001021 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 340010000441320 its reverse (23144000010043), we get a palindrome (363154000451363).

The spelling of 340010000441320 in words is "three hundred forty trillion, ten billion, four hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 772750001003 1545500002006 3091000004012 3863750005015 6182000008024 7727500010030 8500250011033 15455000020060 17000500022066 30910000040120 34001000044132 42501250055165 68002000088264 85002500110330 170005000220660 340010000441320