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1232540304 = 24343797559
BaseRepresentation
bin100100101110111…
…0001001010010000
310011220020112102220
41021131301022100
510011012242204
6322145341040
742354263652
oct11135611220
93156215386
101232540304
11582811856
122a4937780
131684787b8
14b99a06d2
15733171d9
hex49771290

1232540304 has 80 divisors (see below), whose sum is σ = 3299788800. Its totient is φ = 396160128.

The previous prime is 1232540303. The next prime is 1232540321. The reversal of 1232540304 is 4030452321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1232540303) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 159277 + ... + 166835.

It is an arithmetic number, because the mean of its divisors is an integer number (41247360).

Almost surely, 21232540304 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 1232540304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649894400).

1232540304 is an abundant number, since it is smaller than the sum of its proper divisors (2067248496).

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

1232540304 is a wasteful number, since it uses less digits than its factorization.

1232540304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7692 (or 7686 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1232540304 is about 35107.5533753066. The cubic root of 1232540304 is about 1072.1783740086.

Adding to 1232540304 its reverse (4030452321), we get a palindrome (5262992625).

The spelling of 1232540304 in words is "one billion, two hundred thirty-two million, five hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 79 86 129 158 172 237 258 316 344 474 516 632 688 948 1032 1264 1896 2064 3397 3792 6794 7559 10191 13588 15118 20382 22677 27176 30236 40764 45354 54352 60472 81528 90708 120944 163056 181416 325037 362832 597161 650074 975111 1194322 1300148 1791483 1950222 2388644 2600296 3582966 3900444 4777288 5200592 7165932 7800888 9554576 14331864 15601776 25677923 28663728 51355846 77033769 102711692 154067538 205423384 308135076 410846768 616270152 1232540304