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1231332304 = 241723319429
BaseRepresentation
bin100100101100100…
…1010001111010000
310011210222011101011
41021121022033100
510010210113204
6322103420304
742341103046
oct11131121720
93153864334
101231332304
11582067204
122a4454694
131681449c7
14b9768396
1573179304
hex4964a3d0

1231332304 has 40 divisors (see below), whose sum is σ = 2537013960. Its totient is φ = 576933888.

The previous prime is 1231332281. The next prime is 1231332337. The reversal of 1231332304 is 4032331321.

It can be written as a sum of positive squares in 4 ways, for example, as 725904 + 1230606400 = 852^2 + 35080^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 53662 + ... + 73090.

It is an arithmetic number, because the mean of its divisors is an integer number (63425349).

Almost surely, 21231332304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1231332304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268506980).

1231332304 is an abundant number, since it is smaller than the sum of its proper divisors (1305681656).

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

1231332304 is a wasteful number, since it uses less digits than its factorization.

1231332304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19687 (or 19681 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 1231332304 is about 35090.3448828877. The cubic root of 1231332304 is about 1071.8279825347.

Adding to 1231332304 its reverse (4032331321), we get a palindrome (5263663625).

The spelling of 1231332304 in words is "one billion, two hundred thirty-one million, three hundred thirty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 233 272 466 932 1864 3728 3961 7922 15844 19429 31688 38858 63376 77716 155432 310864 330293 660586 1321172 2642344 4526957 5284688 9053914 18107828 36215656 72431312 76958269 153916538 307833076 615666152 1231332304