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3242304024 = 233476734271
BaseRepresentation
bin1100000101000001…
…1010001000011000
322100221222002222020
43001100122020120
523120012212044
61253421454440
7143230062261
oct30120321030
98327862866
103242304024
111414218003
12765a11420
133c8960cbb
1422a87b968
1513e9a7a19
hexc141a218

3242304024 has 64 divisors (see below), whose sum is σ = 8292464640. Its totient is φ = 1055953920.

The previous prime is 3242304007. The next prime is 3242304029. The reversal of 3242304024 is 4204032423.

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

It is a junction number, because it is equal to n+sod(n) for n = 3242303985 and 3242304003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3242304029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 757009 + ... + 761279.

It is an arithmetic number, because the mean of its divisors is an integer number (129569760).

Almost surely, 23242304024 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 3242304024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146232320).

3242304024 is an abundant number, since it is smaller than the sum of its proper divisors (5050160616).

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

3242304024 is a wasteful number, since it uses less digits than its factorization.

3242304024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000 (or 4996 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3242304024 is about 56941.2330741090. The cubic root of 3242304024 is about 1480.0779153039.

Adding to 3242304024 its reverse (4204032423), we get a palindrome (7446336447).

The spelling of 3242304024 in words is "three billion, two hundred forty-two million, three hundred four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 673 1128 1346 2019 2692 4038 4271 5384 8076 8542 12813 16152 17084 25626 31631 34168 51252 63262 94893 102504 126524 189786 200737 253048 379572 401474 602211 759144 802948 1204422 1605896 2408844 2874383 4817688 5748766 8623149 11497532 17246298 22995064 34492596 68985192 135096001 270192002 405288003 540384004 810576006 1080768008 1621152012 3242304024