[go: up one dir, main page]

Search a number
-
+
330403122 = 232719791747
BaseRepresentation
bin10011101100011…
…000110100110010
3212000201012212200
4103230120310302
51134040344442
652441404030
711121244260
oct2354306462
9760635780
10330403122
1115a55a835
1292799616
13535b440a
1431c49430
151e01734c
hex13b18d32

330403122 has 96 divisors (see below), whose sum is σ = 872601600. Its totient is φ = 88249824.

The previous prime is 330403121. The next prime is 330403153. The reversal of 330403122 is 221304033.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 330403095 and 330403104.

It is not an unprimeable number, because it can be changed into a prime (330403121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188253 + ... + 189999.

It is an arithmetic number, because the mean of its divisors is an integer number (9089600).

Almost surely, 2330403122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330403122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436300800).

330403122 is an abundant number, since it is smaller than the sum of its proper divisors (542198478).

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

330403122 is a wasteful number, since it uses less digits than its factorization.

330403122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 330403122 is about 18176.9943059902. The cubic root of 330403122 is about 691.3235967450.

Adding to 330403122 its reverse (221304033), we get a palindrome (551707155).

The spelling of 330403122 in words is "three hundred thirty million, four hundred three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 79 114 126 133 158 171 237 266 342 399 474 553 711 798 1106 1197 1422 1501 1659 1747 2394 3002 3318 3494 4503 4977 5241 9006 9954 10482 10507 12229 13509 15723 21014 24458 27018 31446 31521 33193 36687 63042 66386 73374 94563 99579 110061 138013 189126 199158 220122 232351 276026 298737 414039 464702 597474 697053 828078 966091 1242117 1394106 1932182 2091159 2484234 2622247 2898273 4182318 5244494 5796546 7866741 8694819 15733482 17389638 18355729 23600223 36711458 47200446 55067187 110134374 165201561 330403122