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1304440040 = 23532611001
BaseRepresentation
bin100110111000000…
…0010110011101000
310100220112102100002
41031300002303220
510132414040130
6333234402132
744216362121
oct11560026350
93326472302
101304440040
1160a360122
12304a30348
1317a330c17
14c5359048
15797bab45
hex4dc02ce8

1304440040 has 16 divisors (see below), whose sum is σ = 2934990180. Its totient is φ = 521776000.

The previous prime is 1304440037. The next prime is 1304440057. The reversal of 1304440040 is 400444031.

It can be written as a sum of positive squares in 2 ways, for example, as 1294416484 + 10023556 = 35978^2 + 3166^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1304439994 and 1304440021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16305461 + ... + 16305540.

Almost surely, 21304440040 is an apocalyptic number.

1304440040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1304440040 is an abundant number, since it is smaller than the sum of its proper divisors (1630550140).

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

1304440040 is a wasteful number, since it uses less digits than its factorization.

1304440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32611012 (or 32611008 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1304440040 is about 36117.0325469854. The cubic root of 1304440040 is about 1092.6339911796.

Adding to 1304440040 its reverse (400444031), we get a palindrome (1704884071).

The spelling of 1304440040 in words is "one billion, three hundred four million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 32611001 65222002 130444004 163055005 260888008 326110010 652220020 1304440040