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4023380004 = 2237217715669
BaseRepresentation
bin1110111111001111…
…1110100000100100
3101101101200212210020
43233303332200210
531214441130004
61503122555140
7201463110600
oct35763764044
911341625706
104023380004
111785102a46
12943508ab0
134c1719437
142a24bc500
151883428d9
hexefcfe824

4023380004 has 144 divisors (see below), whose sum is σ = 11727918720. Its totient is φ = 1066490880.

The previous prime is 4023380003. The next prime is 4023380027. The reversal of 4023380004 is 4000833204.

It is not an unprimeable number, because it can be changed into a prime (4023380003) 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, 706882 + ... + 712550.

It is an arithmetic number, because the mean of its divisors is an integer number (81443880).

Almost surely, 24023380004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4023380004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5863959360).

4023380004 is an abundant number, since it is smaller than the sum of its proper divisors (7704538716).

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

4023380004 is a wasteful number, since it uses less digits than its factorization.

4023380004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5778 (or 5769 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4023380004 is about 63430.1190602698. The cubic root of 4023380004 is about 1590.4878325905.

The spelling of 4023380004 in words is "four billion, twenty-three million, three hundred eighty thousand, four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 71 84 98 102 119 142 147 196 204 213 238 284 294 357 426 476 497 588 714 833 852 994 1207 1428 1491 1666 1988 2414 2499 2982 3332 3479 3621 4828 4998 5669 5964 6958 7242 8449 9996 10437 11338 13916 14484 16898 17007 20874 22676 25347 33796 34014 39683 41748 50694 59143 68028 79366 96373 101388 118286 119049 158732 177429 192746 236572 238098 277781 289119 354858 385492 402499 476196 555562 578238 674611 709716 804998 833343 1111124 1156476 1207497 1349222 1609996 1666686 2023833 2414994 2698444 2817493 3333372 4047666 4722277 4829988 5634986 6842483 8095332 8452479 9444554 11269972 13684966 14166831 16904958 18889108 19722451 20527449 27369932 28333662 33809916 39444902 41054898 47897381 56667324 59167353 78889804 82109796 95794762 118334706 143692143 191589524 236669412 287384286 335281667 574768572 670563334 1005845001 1341126668 2011690002 4023380004