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2024003424 = 253196118191
BaseRepresentation
bin111100010100011…
…1101011101100000
312020001112000201210
41320220331131200
513121121102144
6532501230120
7101104513422
oct17050753540
95201460653
102024003424
11949551803
12485a02340
1326342ca81
14152b46812
15bca54ab9
hex78a3d760

2024003424 has 96 divisors (see below), whose sum is σ = 5684636160. Its totient is φ = 628646400.

The previous prime is 2024003419. The next prime is 2024003453. The reversal of 2024003424 is 4243004202.

2024003424 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2024003424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102169 + ... + 120359.

It is an arithmetic number, because the mean of its divisors is an integer number (59214960).

Almost surely, 22024003424 is an apocalyptic number.

2024003424 is a gapful number since it is divisible by the number (24) 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 2024003424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842318080).

2024003424 is an abundant number, since it is smaller than the sum of its proper divisors (3660632736).

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

2024003424 is a wasteful number, since it uses less digits than its factorization.

2024003424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18284 (or 18276 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2024003424 is about 44988.9255706335. The cubic root of 2024003424 is about 1264.9414219830.

Adding to 2024003424 its reverse (4243004202), we get a palindrome (6267007626).

The spelling of 2024003424 in words is "two billion, twenty-four million, three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 61 76 96 114 122 152 183 228 244 304 366 456 488 608 732 912 976 1159 1464 1824 1952 2318 2928 3477 4636 5856 6954 9272 13908 18191 18544 27816 36382 37088 54573 55632 72764 109146 111264 145528 218292 291056 345629 436584 582112 691258 873168 1036887 1109651 1382516 1746336 2073774 2219302 2765032 3328953 4147548 4438604 5530064 6657906 8295096 8877208 11060128 13315812 16590192 17754416 21083369 26631624 33180384 35508832 42166738 53263248 63250107 84333476 106526496 126500214 168666952 253000428 337333904 506000856 674667808 1012001712 2024003424