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2344048341840 = 24325193122924137
BaseRepresentation
bin100010000111000100001…
…010110011001101010000
322022002101202111111012100
4202013010022303031100
5301401102333414330
64552501351000400
7331231463105202
oct42070412631520
98262352444170
102344048341840
118241181a8287
1231a361069100
1314007309167a
1481649ad8772
1540e92797060
hex221c42b3350

2344048341840 has 480 divisors, whose sum is σ = 8591428684800. Its totient is φ = 570551869440.

The previous prime is 2344048341839. The next prime is 2344048341853. The reversal of 2344048341840 is 481438404432.

2344048341840 is a `hidden beast` number, since 2 + 34 + 404 + 8 + 34 + 184 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97102252 + ... + 97126388.

It is an arithmetic number, because the mean of its divisors is an integer number (17898809760).

Almost surely, 22344048341840 is an apocalyptic number.

2344048341840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2344048341840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295714342400).

2344048341840 is an abundant number, since it is smaller than the sum of its proper divisors (6247380342960).

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

2344048341840 is a wasteful number, since it uses less digits than its factorization.

2344048341840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24435 (or 24426 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 2344048341840 in words is "two trillion, three hundred forty-four billion, forty-eight million, three hundred forty-one thousand, eight hundred forty".