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2344331424 = 25347519577
BaseRepresentation
bin1000101110111011…
…1010100010100000
320001101021101010210
42023232322202200
514300122101144
61024343054120
7112044326331
oct21356724240
96041241123
102344331424
11aa334a996
12555141340
132b48c7376
141834cc288
15dac2bab9
hex8bbba8a0

2344331424 has 48 divisors (see below), whose sum is σ = 6284815488. Its totient is φ = 764815872.

The previous prime is 2344331411. The next prime is 2344331447. The reversal of 2344331424 is 4241334432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2344331391 and 2344331400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255277 + ... + 264300.

It is an arithmetic number, because the mean of its divisors is an integer number (130933656).

Almost surely, 22344331424 is an apocalyptic number.

2344331424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2344331424 is an abundant number, since it is smaller than the sum of its proper divisors (3940484064).

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

2344331424 is a wasteful number, since it uses less digits than its factorization.

2344331424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519637 (or 519629 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 2344331424 is about 48418.2963764732. The cubic root of 2344331424 is about 1328.4330433203.

Adding to 2344331424 its reverse (4241334432), we get a palindrome (6585665856).

The spelling of 2344331424 in words is "two billion, three hundred forty-four million, three hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 519577 1039154 1558731 2078308 3117462 4156616 6234924 8313232 12469848 16626464 24420119 24939696 48840238 49879392 73260357 97680476 146520714 195360952 293041428 390721904 586082856 781443808 1172165712 2344331424