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1004404040 = 23561411641
BaseRepresentation
bin111011110111011…
…111110101001000
32120222222000022122
4323313133311020
54024111412130
6243355510412
733614202443
oct7367376510
92528860278
101004404040
11475a61692
12240458408
1313011c923
149757665a
155d2a12e5
hex3bddfd48

1004404040 has 32 divisors (see below), whose sum is σ = 2296962360. Its totient is φ = 395174400.

The previous prime is 1004404021. The next prime is 1004404069. The reversal of 1004404040 is 404044001.

It can be written as a sum of positive squares in 4 ways, for example, as 420988324 + 583415716 = 20518^2 + 24154^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203381 + ... + 208260.

Almost surely, 21004404040 is an apocalyptic number.

1004404040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004404040 is an abundant number, since it is smaller than the sum of its proper divisors (1292558320).

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

1004404040 is a wasteful number, since it uses less digits than its factorization.

1004404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411713 (or 411709 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 1004404040 is about 31692.3340888613. The cubic root of 1004404040 is about 1001.4658635275.

Adding to 1004404040 its reverse (404044001), we get a palindrome (1408448041).

The spelling of 1004404040 in words is "one billion, four million, four hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 411641 823282 1646564 2058205 3293128 4116410 8232820 16465640 25110101 50220202 100440404 125550505 200880808 251101010 502202020 1004404040