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2340330102 = 2321129419941
BaseRepresentation
bin1000101101111110…
…1001101001110110
320001002202002100200
42023133221221312
514243111030402
61024121221330
7111665322555
oct21337515166
96032662320
102340330102
11aa1067710
12553931846
132b3b26016
14182b69d9c
15da6db21c
hex8b7e9a76

2340330102 has 96 divisors (see below), whose sum is σ = 5862598560. Its totient is φ = 667968000.

The previous prime is 2340330059. The next prime is 2340330103. The reversal of 2340330102 is 2010330432.

2340330102 is a `hidden beast` number, since 234 + 0 + 330 + 102 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340330103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230452 + ... + 240392.

It is an arithmetic number, because the mean of its divisors is an integer number (61068735).

Almost surely, 22340330102 is an apocalyptic number.

2340330102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340330102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931299280).

2340330102 is an abundant number, since it is smaller than the sum of its proper divisors (3522268458).

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

2340330102 is a wasteful number, since it uses less digits than its factorization.

2340330102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10030 (or 10027 counting only the distinct ones).

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

The square root of 2340330102 is about 48376.9583789638. The cubic root of 2340330102 is about 1327.6768198402.

Adding to 2340330102 its reverse (2010330432), we get a palindrome (4350660534).

It can be divided in two parts, 2340330 and 102, that added together give a palindrome (2340432).

The spelling of 2340330102 in words is "two billion, three hundred forty million, three hundred thirty thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 29 33 41 58 66 82 87 99 123 174 198 246 261 319 369 451 522 638 738 902 957 1189 1353 1914 2378 2706 2871 3567 4059 5742 7134 8118 9941 10701 13079 19882 21402 26158 29823 39237 59646 78474 89469 109351 117711 178938 218702 235422 288289 328053 407581 576578 656106 815162 864867 984159 1222743 1729734 1968318 2445486 2594601 3171179 3668229 4483391 5189202 6342358 7336458 8966782 9513537 11819849 13450173 19027074 23639698 26900346 28540611 35459547 40350519 57081222 70919094 80701038 106378641 130018339 212757282 260036678 390055017 780110034 1170165051 2340330102