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2004341040 = 24325131971087
BaseRepresentation
bin111011101110111…
…1101000100110000
312011200112002000100
41313131331010300
513101102403130
6530515552400
7100445421612
oct16735750460
95150462010
102004341040
119394420a9
1247b2bb700
1325c337220
141502a8db2
15bae6dc60
hex7777d130

2004341040 has 240 divisors, whose sum is σ = 7292533248. Its totient is φ = 490420224.

The previous prime is 2004341039. The next prime is 2004341063. The reversal of 2004341040 is 401434002.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1843377 + ... + 1844463.

Almost surely, 22004341040 is an apocalyptic number.

2004341040 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 2004341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646266624).

2004341040 is an abundant number, since it is smaller than the sum of its proper divisors (5288192208).

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

2004341040 is a wasteful number, since it uses less digits than its factorization.

2004341040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2004341040 is about 44769.8675450352. The cubic root of 2004341040 is about 1260.8319524474.

Adding to 2004341040 its reverse (401434002), we get a palindrome (2405775042).

The spelling of 2004341040 in words is "two billion, four million, three hundred forty-one thousand, forty".