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1204330320 = 2432517611613
BaseRepresentation
bin100011111001000…
…1001111101010000
310002221011022121200
41013302021331100
54431302032240
6315300551200
741562432054
oct10762117520
93087138550
101204330320
115688a4216
122973b2500
1316267c4bb
14b5d39c64
1570ae3930
hex47c89f50

1204330320 has 240 divisors, whose sum is σ = 4355359632. Its totient is φ = 297123840.

The previous prime is 1204330297. The next prime is 1204330327. The reversal of 1204330320 is 230334021.

1204330320 is a `hidden beast` number, since 12 + 0 + 4 + 330 + 320 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 31404816 + 1172925504 = 5604^2 + 34248^2 .

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 a junction number, because it is equal to n+sod(n) for n = 1204330293 and 1204330302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1204330327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 745834 + ... + 747446.

Almost surely, 21204330320 is an apocalyptic number.

1204330320 is a gapful number since it is divisible by the number (10) 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 1204330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177679816).

1204330320 is an abundant number, since it is smaller than the sum of its proper divisors (3151029312).

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

1204330320 is a wasteful number, since it uses less digits than its factorization.

1204330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1204330320 is about 34703.4626514416. The cubic root of 1204330320 is about 1063.9352712804.

Adding to 1204330320 its reverse (230334021), we get a palindrome (1434664341).

The spelling of 1204330320 in words is "one billion, two hundred four million, three hundred thirty thousand, three hundred twenty".