Search a number
-
+
2343211290 = 2325719210303
BaseRepresentation
bin1000101110101010…
…1001000100011010
320001022011110121100
42023222221010122
514244330230130
61024303052230
7112031652540
oct21352510432
96038143540
102343211290
11aa2755362
125548a1076
132b45c4574
141832b9d90
15daaa9c60
hex8baa911a

2343211290 has 144 divisors (see below), whose sum is σ = 7349142528. Its totient is φ = 507352896.

The previous prime is 2343211267. The next prime is 2343211327. The reversal of 2343211290 is 921123432.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 222279 + ... + 232581.

It is an arithmetic number, because the mean of its divisors is an integer number (51035712).

Almost surely, 22343211290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2343211290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674571264).

2343211290 is an abundant number, since it is smaller than the sum of its proper divisors (5005931238).

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

2343211290 is a wasteful number, since it uses less digits than its factorization.

2343211290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10361 (or 10339 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2343211290 is about 48406.7277348924. The cubic root of 2343211290 is about 1328.2214321603.

The spelling of 2343211290 in words is "two billion, three hundred forty-three million, two hundred eleven thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 57 63 70 90 95 105 114 126 133 171 190 210 266 285 315 342 361 399 570 630 665 722 798 855 1083 1197 1330 1710 1805 1995 2166 2394 2527 3249 3610 3990 5054 5415 5985 6498 7581 10303 10830 11970 12635 15162 16245 20606 22743 25270 30909 32490 37905 45486 51515 61818 72121 75810 92727 103030 113715 144242 154545 185454 195757 216363 227430 309090 360605 391514 432726 463635 587271 649089 721210 927270 978785 1081815 1174542 1298178 1370299 1761813 1957570 2163630 2740598 2936355 3245445 3523626 3719383 4110897 5872710 6490890 6851495 7438766 8221794 8809065 11158149 12332691 13702990 17618130 18596915 20554485 22316298 24665382 26035681 33474447 37193830 41108970 52071362 55790745 61663455 66948894 78107043 111581490 123326910 130178405 156214086 167372235 234321129 260356810 334744470 390535215 468642258 781070430 1171605645 2343211290