Search a number
-
+
3205164330 = 234514926557
BaseRepresentation
bin1011111100001010…
…1110110100101010
322021101002012220000
42333002232310222
523031010224310
61250013443430
7142266306264
oct27702566452
98241065800
103205164330
1113a5260445
127554a0576
133c1059354
14225970b34
1513b5bd4c0
hexbf0aed2a

3205164330 has 80 divisors (see below), whose sum is σ = 8676498600. Its totient is φ = 848942208.

The previous prime is 3205164323. The next prime is 3205164341. The reversal of 3205164330 is 334615023.

It is a happy number.

3205164330 is a `hidden beast` number, since 320 + 5 + 1 + 6 + 4 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1856144889 + 1349019441 = 43083^2 + 36729^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3205164294 and 3205164303.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 107412 + ... + 133968.

Almost surely, 23205164330 is an apocalyptic number.

3205164330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3205164330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4338249300).

3205164330 is an abundant number, since it is smaller than the sum of its proper divisors (5471334270).

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

3205164330 is a wasteful number, since it uses less digits than its factorization.

3205164330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26725 (or 26716 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3205164330 is about 56614.1707525598. The cubic root of 3205164330 is about 1474.4049048203.

Adding to 3205164330 its reverse (334615023), we get a palindrome (3539779353).

The spelling of 3205164330 in words is "three billion, two hundred five million, one hundred sixty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 149 162 270 298 405 447 745 810 894 1341 1490 2235 2682 4023 4470 6705 8046 12069 13410 20115 24138 26557 40230 53114 60345 79671 120690 132785 159342 239013 265570 398355 478026 717039 796710 1195065 1434078 2151117 2390130 3585195 3956993 4302234 7170390 7913986 10755585 11870979 19784965 21511170 23741958 35612937 39569930 59354895 71225874 106838811 118709790 178064685 213677622 320516433 356129370 534194055 641032866 1068388110 1602582165 3205164330