Search a number
-
+
3221743240 = 235677915217
BaseRepresentation
bin1100000000000111…
…1110011010001000
322022112021111212201
43000001332122020
523044231240430
61251405045544
7142560236302
oct30001763210
98275244781
103221743240
111403654421
1275ab568b4
133c4612561
14227c48972
1513cc958ca
hexc007e688

3221743240 has 64 divisors (see below), whose sum is σ = 7450732800. Its totient is φ = 1253311488.

The previous prime is 3221743229. The next prime is 3221743247. The reversal of 3221743240 is 423471223.

It is a junction number, because it is equal to n+sod(n) for n = 3221743199 and 3221743208.

It is not an unprimeable number, because it can be changed into a prime (3221743247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204112 + ... + 219328.

It is an arithmetic number, because the mean of its divisors is an integer number (116417700).

Almost surely, 23221743240 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 3221743240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725366400).

3221743240 is an abundant number, since it is smaller than the sum of its proper divisors (4228989560).

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

3221743240 is a wasteful number, since it uses less digits than its factorization.

3221743240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15374 (or 15370 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 3221743240 is about 56760.4020422689. The cubic root of 3221743240 is about 1476.9426843044.

It can be divided in two parts, 32217 and 43240, that added together give a palindrome (75457).

The spelling of 3221743240 in words is "three billion, two hundred twenty-one million, seven hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 67 79 134 158 268 316 335 395 536 632 670 790 1340 1580 2680 3160 5293 10586 15217 21172 26465 30434 42344 52930 60868 76085 105860 121736 152170 211720 304340 608680 1019539 1202143 2039078 2404286 4078156 4808572 5097695 6010715 8156312 9617144 10195390 12021430 20390780 24042860 40781560 48085720 80543581 161087162 322174324 402717905 644348648 805435810 1610871620 3221743240