Search a number
-
+
3220234024 = 2373779103191
BaseRepresentation
bin1011111111110000…
…1101111100101000
322022102102211121211
42333330031330220
523043334442044
61251312442504
7142541352250
oct27774157450
98272384554
103220234024
111402813537
1275a549434
133c4204627
14227974960
1513ca98634
hexbff0df28

3220234024 has 128 divisors (see below), whose sum is σ = 7284326400. Its totient is φ = 1306056960.

The previous prime is 3220234007. The next prime is 3220234067. The reversal of 3220234024 is 4204320223.

It is a junction number, because it is equal to n+sod(n) for n = 3220233986 and 3220234004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16859769 + ... + 16859959.

It is an arithmetic number, because the mean of its divisors is an integer number (56908800).

Almost surely, 23220234024 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 3220234024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642163200).

3220234024 is an abundant number, since it is smaller than the sum of its proper divisors (4064092376).

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

3220234024 is a wasteful number, since it uses less digits than its factorization.

3220234024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 3220234024 is about 56747.1058645285. The cubic root of 3220234024 is about 1476.7120251535.

Adding to 3220234024 its reverse (4204320223), we get a palindrome (7424554247).

The spelling of 3220234024 in words is "three billion, two hundred twenty million, two hundred thirty-four thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 37 56 74 79 103 148 158 191 206 259 296 316 382 412 518 553 632 721 764 824 1036 1106 1337 1442 1528 2072 2212 2674 2884 2923 3811 4424 5348 5768 5846 7067 7622 8137 10696 11692 14134 15089 15244 16274 19673 20461 23384 26677 28268 30178 30488 32548 39346 40922 49469 53354 56536 56959 60356 65096 78692 81844 98938 105623 106708 113918 120712 137711 157384 163688 197876 211246 213416 227836 275422 301069 395752 422492 455672 550844 558293 602138 727901 844984 1101688 1116586 1204276 1455802 1554167 2107483 2233172 2408552 2911604 3108334 3908051 4214966 4466344 5095307 5823208 6216668 7816102 8429932 10190614 10879169 12433336 15632204 16859864 20381228 21758338 31264408 40762456 43516676 57504179 87033352 115008358 230016716 402529253 460033432 805058506 1610117012 3220234024