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4349424 = 243313779
BaseRepresentation
bin10000100101110111110000
322011222021210
4100211313300
52103140144
6233120120
751653352
oct20456760
98158253
104349424
112500872
121559040
13b93931
148130d2
155adab9
hex425df0

4349424 has 80 divisors (see below), whose sum is σ = 12062720. Its totient is φ = 1347840.

The previous prime is 4349419. The next prime is 4349453. The reversal of 4349424 is 4249434.

It is a d-powerful number, because it can be written as 4 + 39 + 44 + 9 + 46 + 217 + 411 .

It is a junction number, because it is equal to n+sod(n) for n = 4349391 and 4349400.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 55017 + ... + 55095.

It is an arithmetic number, because the mean of its divisors is an integer number (150784).

Almost surely, 24349424 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 4349424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6031360).

4349424 is an abundant number, since it is smaller than the sum of its proper divisors (7713296).

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

4349424 is a wasteful number, since it uses less digits than its factorization.

4349424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 4349424 is about 2085.5272714592. The cubic root of 4349424 is about 163.2339846565.

The spelling of 4349424 in words is "four million, three hundred forty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 37 48 62 74 79 93 111 124 148 158 186 222 237 248 296 316 372 444 474 496 592 632 744 888 948 1147 1264 1488 1776 1896 2294 2449 2923 3441 3792 4588 4898 5846 6882 7347 8769 9176 9796 11692 13764 14694 17538 18352 19592 23384 27528 29388 35076 39184 46768 55056 58776 70152 90613 117552 140304 181226 271839 362452 543678 724904 1087356 1449808 2174712 4349424