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2014344024 = 2337111090013
BaseRepresentation
bin111100000010000…
…0111001101011000
312012101100021112020
41320010013031120
513111133002044
6531514214440
7100626433050
oct17004071530
95171307466
102014344024
11944054530
12482724420
1326142a254
14151750560
15bbc97a19
hex78107358

2014344024 has 64 divisors (see below), whose sum is σ = 6278480640. Its totient is φ = 523205760.

The previous prime is 2014344019. The next prime is 2014344029. The reversal of 2014344024 is 4204434102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2014344019) and next prime (2014344029).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2014343985 and 2014344003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014344029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 543159 + ... + 546854.

It is an arithmetic number, because the mean of its divisors is an integer number (98101260).

Almost surely, 22014344024 is an apocalyptic number.

2014344024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2014344024 is an abundant number, since it is smaller than the sum of its proper divisors (4264136616).

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

2014344024 is a wasteful number, since it uses less digits than its factorization.

2014344024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090040 (or 1090036 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2014344024 is about 44881.4440944139. Note that the first 3 decimals coincide. The cubic root of 2014344024 is about 1262.9259339114.

Adding to 2014344024 its reverse (4204434102), we get a palindrome (6218778126).

The spelling of 2014344024 in words is "two billion, fourteen million, three hundred forty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 1090013 2180026 3270039 4360052 6540078 7630091 8720104 11990143 13080156 15260182 22890273 23980286 26160312 30520364 35970429 45780546 47960572 61040728 71940858 83931001 91561092 95921144 143881716 167862002 183122184 251793003 287763432 335724004 503586006 671448008 1007172012 2014344024