Search a number
-
+
3241140220 = 2252359307389
BaseRepresentation
bin1100000100101111…
…1101111111111100
322100212202222112101
43001023331333330
523114212441340
61253340514444
7143214144253
oct30113757774
98325688471
103241140220
1114135a268a
1276554ba24
133c8644366
1422a65779a
1513e827c9a
hexc12fdffc

3241140220 has 96 divisors (see below), whose sum is σ = 7264857600. Its totient is φ = 1211975424.

The previous prime is 3241140211. The next prime is 3241140223. The reversal of 3241140220 is 220411423.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3241140223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8331786 + ... + 8332174.

It is an arithmetic number, because the mean of its divisors is an integer number (75675600).

Almost surely, 23241140220 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 3241140220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632428800).

3241140220 is an abundant number, since it is smaller than the sum of its proper divisors (4023717380).

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

3241140220 is a wasteful number, since it uses less digits than its factorization.

3241140220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 3241140220 is about 56931.0128137556. The cubic root of 3241140220 is about 1479.9008059888.

Adding to 3241140220 its reverse (220411423), we get a palindrome (3461551643).

The spelling of 3241140220 in words is "three billion, two hundred forty-one million, one hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 59 92 115 118 230 236 295 307 389 460 590 614 778 1180 1228 1357 1535 1556 1945 2714 3070 3890 5428 6140 6785 7061 7780 8947 13570 14122 17894 18113 22951 27140 28244 35305 35788 36226 44735 45902 70610 72452 89470 90565 91804 114755 119423 141220 178940 181130 229510 238846 362260 416599 459020 477692 527873 597115 833198 1055746 1194230 1666396 2082995 2111492 2388460 2639365 2746729 4165990 5278730 5493458 7045957 8331980 10557460 10986916 13733645 14091914 27467290 28183828 35229785 54934580 70459570 140919140 162057011 324114022 648228044 810285055 1620570110 3241140220