Search a number
-
+
3361302120 = 23351114331777
BaseRepresentation
bin1100100001011001…
…0110011001101000
322200020212211200010
43020112112121220
523340443131440
61313312211520
7146203411431
oct31026263150
98606784603
103361302120
111475405040
12799839ba0
134174c6b87
1423c5b6488
1514a161580
hexc8596668

3361302120 has 128 divisors (see below), whose sum is σ = 11014496640. Its totient is φ = 813834240.

The previous prime is 3361302097. The next prime is 3361302127. The reversal of 3361302120 is 212031633.

It is a super-2 number, since 2×33613021202 = 22596703883832988800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3361302127) 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, 1890672 + ... + 1892448.

It is an arithmetic number, because the mean of its divisors is an integer number (86050755).

Almost surely, 23361302120 is an apocalyptic number.

3361302120 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 3361302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5507248320).

3361302120 is an abundant number, since it is smaller than the sum of its proper divisors (7653194520).

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

3361302120 is a wasteful number, since it uses less digits than its factorization.

3361302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3235 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3361302120 is about 57976.7377488592. The cubic root of 3361302120 is about 1497.9679328229.

Adding to 3361302120 its reverse (212031633), we get a palindrome (3573333753).

The spelling of 3361302120 in words is "three billion, three hundred sixty-one million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1433 1777 2866 3554 4299 5331 5732 7108 7165 8598 8885 10662 11464 14216 14330 15763 17196 17770 19547 21324 21495 26655 28660 31526 34392 35540 39094 42648 42990 47289 53310 57320 58641 63052 71080 78188 78815 85980 94578 97735 106620 117282 126104 156376 157630 171960 189156 195470 213240 234564 236445 293205 315260 378312 390940 469128 472890 586410 630520 781880 945780 1172820 1891560 2345640 2546441 5092882 7639323 10185764 12732205 15278646 20371528 25464410 28010851 30557292 38196615 50928820 56021702 61114584 76393230 84032553 101857640 112043404 140054255 152786460 168065106 224086808 280108510 305572920 336130212 420162765 560217020 672260424 840325530 1120434040 1680651060 3361302120