Search a number
-
+
345020889224 = 231131714314133
BaseRepresentation
bin1010000010101001101…
…10001111100010001000
31012222120002200011102202
411001110312033202020
521123100321423344
6422300031015332
733632640112214
oct5012466174210
91188502604382
10345020889224
1112336032a770
1256a4a96a548
13266c6174b2b
14129b048b944
158e94d7694e
hex5054d8f888

345020889224 has 128 divisors (see below), whose sum is σ = 740643471360. Its totient is φ = 149247840000.

The previous prime is 345020889217. The next prime is 345020889277. The reversal of 345020889224 is 422988020543.

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, 83477462 + ... + 83481594.

It is an arithmetic number, because the mean of its divisors is an integer number (5786277120).

Almost surely, 2345020889224 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 345020889224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370321735680).

345020889224 is an abundant number, since it is smaller than the sum of its proper divisors (395622582136).

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

345020889224 is a wasteful number, since it uses less digits than its factorization.

345020889224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4683 (or 4679 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 47.

The spelling of 345020889224 in words is "three hundred forty-five billion, twenty million, eight hundred eighty-nine thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 31 44 62 71 88 124 142 248 284 341 431 568 682 781 862 1364 1562 1724 2201 2728 3124 3448 4133 4402 4741 6248 8266 8804 9482 13361 16532 17608 18964 24211 26722 30601 33064 37928 45463 48422 53444 61202 90926 96844 106888 122404 128123 146971 181852 193688 244808 256246 293443 293942 336611 363704 512492 586886 587884 673222 948631 1024984 1173772 1175768 1346444 1409353 1781323 1897262 2347544 2692888 2818706 3227873 3562646 3794524 5637412 6455746 7125292 7589048 9096733 10434941 11274824 12911492 14250584 18193466 19594553 20869882 25822984 36386932 39189106 41739764 55221013 72773864 78378212 83479528 100064063 110442026 126473933 156756424 200128126 220884052 252947866 400256252 441768104 505895732 607431143 800512504 1011791464 1214862286 1391213263 2429724572 2782426526 3920691923 4859449144 5564853052 7841383846 11129706104 15682767692 31365535384 43127611153 86255222306 172510444612 345020889224