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2334004332 = 223113295039
BaseRepresentation
bin1000101100011110…
…0001010001101100
320000122211201000220
42023013201101230
514240001114312
61023333451340
7111560465232
oct21307412154
96018751026
102334004332
11a98537000
125517a0b50
132b271c96a
14181da0952
15d9d8bc8c
hex8b1e146c

2334004332 has 96 divisors (see below), whose sum is σ = 6197990400. Its totient is φ = 682749760.

The previous prime is 2334004331. The next prime is 2334004333.

2334004332 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2334004331) and next prime (2334004333).

It is not an unprimeable number, because it can be changed into a prime (2334004331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460669 + ... + 465707.

It is an arithmetic number, because the mean of its divisors is an integer number (64562400).

Almost surely, 22334004332 is an apocalyptic number.

2334004332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2334004332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098995200).

2334004332 is an abundant number, since it is smaller than the sum of its proper divisors (3863986068).

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

2334004332 is a wasteful number, since it uses less digits than its factorization.

2334004332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5108 (or 5084 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 2334004332 is about 48311.5341507595. The cubic root of 2334004332 is about 1326.4795305459.

It can be divided in two parts, 233400 and 4332, that added together give a palindrome (237732).

The spelling of 2334004332 in words is "two billion, three hundred thirty-four million, four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 121 132 174 242 319 348 363 484 638 726 957 1276 1331 1452 1914 2662 3509 3828 3993 5039 5324 7018 7986 10078 10527 14036 15117 15972 20156 21054 30234 38599 42108 55429 60468 77198 110858 115797 146131 154396 166287 221716 231594 292262 332574 438393 463188 584524 609719 665148 876786 1219438 1607441 1753572 1829157 2438876 3214882 3658314 4822323 6429764 6706909 7316628 9644646 13413818 17681851 19289292 20120727 26827636 35363702 40241454 53045553 70727404 80482908 106091106 194500361 212182212 389000722 583501083 778001444 1167002166 2334004332