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342440621120 = 26513293897297
BaseRepresentation
bin1001111101110110000…
…11010011010001000000
31012201220021102222000102
410332323003103101000
521102304244333440
6421152014541532
733511666152533
oct4767303232100
91181807388012
10342440621120
11122256892094
125644a8078a8
13263a4720280
1412807904a1a
158d93592b15
hex4fbb0d3440

342440621120 has 224 divisors, whose sum is σ = 910904248800. Its totient is φ = 121749110784.

The previous prime is 342440621087. The next prime is 342440621137. The reversal of 342440621120 is 21126044243.

It can be written as a sum of positive squares in 16 ways, for example, as 199108718656 + 143331902464 = 446216^2 + 378592^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46925312 + ... + 46932608.

It is an arithmetic number, because the mean of its divisors is an integer number (4066536825).

Almost surely, 2342440621120 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 342440621120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455452124400).

342440621120 is an abundant number, since it is smaller than the sum of its proper divisors (568463627680).

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

342440621120 is a wasteful number, since it uses less digits than its factorization.

342440621120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7745 (or 7735 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 342440621120 its reverse (21126044243), we get a palindrome (363566665363).

The spelling of 342440621120 in words is "three hundred forty-two billion, four hundred forty million, six hundred twenty-one thousand, one hundred twenty".