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384999426 = 23375961283
BaseRepresentation
bin10110111100101…
…010000000000010
3222211102222221000
4112330222000002
51242024440201
6102111512430
712353304210
oct2674520002
9884388830
10384999426
1118835a849
12a8b28716
13619bb916
14391bbcb0
1523bedd86
hex16f2a002

384999426 has 128 divisors (see below), whose sum is σ = 1014220800. Its totient is φ = 105986880.

The previous prime is 384999409. The next prime is 384999431. The reversal of 384999426 is 624999483.

384999426 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1360281 + ... + 1360563.

It is an arithmetic number, because the mean of its divisors is an integer number (7923600).

Almost surely, 2384999426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384999426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507110400).

384999426 is an abundant number, since it is smaller than the sum of its proper divisors (629221374).

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

384999426 is a wasteful number, since it uses less digits than its factorization.

384999426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 415 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 384999426 is about 19621.4022434687. The cubic root of 384999426 is about 727.4782733441.

The spelling of 384999426 in words is "three hundred eighty-four million, nine hundred ninety-nine thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 59 61 63 118 122 126 177 183 189 283 354 366 378 413 427 531 549 566 826 849 854 1062 1098 1239 1281 1593 1647 1698 1981 2478 2547 2562 3186 3294 3599 3717 3843 3962 5094 5943 7198 7434 7641 7686 10797 11151 11529 11886 15282 16697 17263 17829 21594 22302 23058 25193 32391 33394 34526 35658 50091 50386 51789 53487 64782 75579 97173 100182 103578 106974 116879 120841 150273 151158 155367 194346 226737 233758 241682 300546 310734 350637 362523 450819 453474 466101 680211 701274 725046 901638 932202 1018517 1051911 1087569 1360422 2037034 2103822 2175138 3055551 3155733 3262707 6111102 6311466 6525414 7129619 9166653 14259238 18333306 21388857 27499959 42777714 54999918 64166571 128333142 192499713 384999426