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3253430520 = 2332523937813
BaseRepresentation
bin1100000111101011…
…0110100011111000
322101201220101122200
43001322312203320
523130334234040
61254500150200
7143423463114
oct30172664370
98351811580
103253430520
11141a52755a
12769698360
133cb058522
1422c136744
15140954630
hexc1eb68f8

3253430520 has 96 divisors (see below), whose sum is σ = 10618171200. Its totient is φ = 863928576.

The previous prime is 3253430507. The next prime is 3253430549. The reversal of 3253430520 is 250343523.

3253430520 is a `hidden beast` number, since 325 + 34 + 305 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67134 + ... + 104946.

It is an arithmetic number, because the mean of its divisors is an integer number (110605950).

Almost surely, 23253430520 is an apocalyptic number.

3253430520 is a gapful number since it is divisible by the number (30) 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 3253430520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5309085600).

3253430520 is an abundant number, since it is smaller than the sum of its proper divisors (7364740680).

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

3253430520 is a wasteful number, since it uses less digits than its factorization.

3253430520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38069 (or 38062 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 3253430520 is about 57038.8509701940. The cubic root of 3253430520 is about 1481.7690253990.

The spelling of 3253430520 in words is "three billion, two hundred fifty-three million, four hundred thirty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 239 360 478 717 956 1195 1434 1912 2151 2390 2868 3585 4302 4780 5736 7170 8604 9560 10755 14340 17208 21510 28680 37813 43020 75626 86040 113439 151252 189065 226878 302504 340317 378130 453756 567195 680634 756260 907512 1134390 1361268 1512520 1701585 2268780 2722536 3403170 4537560 6806340 9037307 13612680 18074614 27111921 36149228 45186535 54223842 72298456 81335763 90373070 108447684 135559605 162671526 180746140 216895368 271119210 325343052 361492280 406678815 542238420 650686104 813357630 1084476840 1626715260 3253430520