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3242795920 = 2457133114369
BaseRepresentation
bin1100000101001001…
…0010001110010000
322100222220002201121
43001102102032100
523120123432140
61253440212024
7143234211340
oct30122221620
98328802647
103242795920
111414523631
1276600a014
133c8aa3b70
1422a968d20
1513ea5364a
hexc1492390

3242795920 has 160 divisors (see below), whose sum is σ = 9579386880. Its totient is φ = 993116160.

The previous prime is 3242795887. The next prime is 3242795923. The reversal of 3242795920 is 295972423.

It is not an unprimeable number, because it can be changed into a prime (3242795923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218496 + ... + 232864.

It is an arithmetic number, because the mean of its divisors is an integer number (59871168).

Almost surely, 23242795920 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 3242795920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789693440).

3242795920 is an abundant number, since it is smaller than the sum of its proper divisors (6336590960).

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

3242795920 is a wasteful number, since it uses less digits than its factorization.

3242795920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14433 (or 14427 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The square root of 3242795920 is about 56945.5522407150. The cubic root of 3242795920 is about 1480.1527599809.

The spelling of 3242795920 in words is "three billion, two hundred forty-two million, seven hundred ninety-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 31 35 40 52 56 62 65 70 80 91 104 112 124 130 140 155 182 208 217 248 260 280 310 364 403 434 455 496 520 560 620 728 806 868 910 1040 1085 1240 1456 1612 1736 1820 2015 2170 2480 2821 3224 3472 3640 4030 4340 5642 6448 7280 8060 8680 11284 14105 14369 16120 17360 22568 28210 28738 32240 45136 56420 57476 71845 100583 112840 114952 143690 186797 201166 225680 229904 287380 373594 402332 445439 502915 574760 747188 804664 890878 933985 1005830 1149520 1307579 1494376 1609328 1781756 1867970 2011660 2227195 2615158 2988752 3118073 3563512 3735940 4023320 4454390 5230316 5790707 6236146 6537895 7127024 7471880 8046640 8908780 10460632 11581414 12472292 13075790 14943760 15590365 17817560 20921264 23162828 24944584 26151580 28953535 31180730 35635120 40534949 46325656 49889168 52303160 57907070 62361460 81069898 92651312 104606320 115814140 124722920 162139796 202674745 231628280 249445840 324279592 405349490 463256560 648559184 810698980 1621397960 3242795920