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2338628034 = 2319229311201
BaseRepresentation
bin1000101101100100…
…1010000111000010
320000222112121120010
42023121022013002
514242142044114
61024020525350
7111645003351
oct21331120702
96028477503
102338628034
11aa0104946
12553250856
132b367b392
14182845998
15da4a1c59
hex8b64a1c2

2338628034 has 96 divisors (see below), whose sum is σ = 5275722240. Its totient is φ = 689472000.

The previous prime is 2338628009. The next prime is 2338628051. The reversal of 2338628034 is 4308268332.

It is a junction number, because it is equal to n+sod(n) for n = 2338627983 and 2338628001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1946634 + ... + 1947834.

It is an arithmetic number, because the mean of its divisors is an integer number (54955440).

Almost surely, 22338628034 is an apocalyptic number.

2338628034 is an abundant number, since it is smaller than the sum of its proper divisors (2937094206).

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

2338628034 is a wasteful number, since it uses less digits than its factorization.

2338628034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 2338628034 is about 48359.3634573492. The cubic root of 2338628034 is about 1327.3548788910.

The spelling of 2338628034 in words is "two billion, three hundred thirty-eight million, six hundred twenty-eight thousand, thirty-four".

Divisors: 1 2 3 6 19 29 31 38 57 58 62 87 93 114 174 186 361 551 589 722 899 1083 1102 1178 1201 1653 1767 1798 2166 2402 2697 3306 3534 3603 5394 7206 10469 11191 17081 20938 22382 22819 31407 33573 34162 34829 37231 45638 51243 62814 67146 68457 69658 74462 102486 104487 111693 136914 208974 223386 324539 433561 649078 661751 707389 867122 973617 1079699 1300683 1323502 1414778 1947234 1985253 2122167 2159398 2601366 3239097 3970506 4244334 6478194 12573269 13440391 20514281 25146538 26880782 37719807 40321173 41028562 61542843 75439614 80642346 123085686 389771339 779542678 1169314017 2338628034