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3330400122 = 2327318271031
BaseRepresentation
bin1100011010000001…
…1101111101111010
322121002201212002200
43012200131331322
523310040300442
61310250011030
7145346635230
oct30640357572
98532655080
103330400122
111459a189a5
1278b416a76
13410c9747a
14238450950
151475aa34c
hexc681df7a

3330400122 has 96 divisors (see below), whose sum is σ = 8531288064. Its totient is φ = 918842400.

The previous prime is 3330400063. The next prime is 3330400169. The reversal of 3330400122 is 2210040333.

It is a super-2 number, since 2×33304001222 = 22183129945235229768, which contains 22 as substring.

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 = 3330400095 and 3330400104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3229747 + ... + 3230777.

It is an arithmetic number, because the mean of its divisors is an integer number (88867584).

Almost surely, 23330400122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3330400122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265644032).

3330400122 is an abundant number, since it is smaller than the sum of its proper divisors (5200887942).

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

3330400122 is a wasteful number, since it uses less digits than its factorization.

3330400122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1901 counting only the distinct ones).

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

The square root of 3330400122 is about 57709.6189729234. The cubic root of 3330400122 is about 1493.3632900272.

Adding to 3330400122 its reverse (2210040333), we get a palindrome (5540440455).

The spelling of 3330400122 in words is "three billion, three hundred thirty million, four hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 827 1031 1302 1654 1953 2062 2481 3093 3906 4962 5789 6186 7217 7443 9279 11578 14434 14886 17367 18558 21651 25637 31961 34734 43302 51274 52101 63922 64953 76911 95883 104202 129906 153822 179459 191766 223727 230733 287649 358918 447454 461466 538377 575298 671181 852637 1076754 1342362 1615131 1705274 2013543 2557911 3230262 4027086 5115822 5968459 7673733 11936918 15347466 17905377 26431747 35810754 52863494 53716131 79295241 107432262 158590482 185022229 237885723 370044458 475771446 555066687 1110133374 1665200061 3330400122