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1814083424 = 25672513371
BaseRepresentation
bin110110000100000…
…1011011101100000
311200102111222121222
41230020023131200
512203401132144
6500002034212
762645311646
oct15410133540
94612458558
101814083424
118510037aa
12427648968
1322bab145a
14132d01196
15a93db2ee
hex6c20b760

1814083424 has 48 divisors (see below), whose sum is σ = 3640303296. Its totient is φ = 889680000.

The previous prime is 1814083421. The next prime is 1814083459. The reversal of 1814083424 is 4243804181.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1814083421) 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 7 ways as a sum of consecutive naturals, for example, 536459 + ... + 539829.

It is an arithmetic number, because the mean of its divisors is an integer number (75839652).

Almost surely, 21814083424 is an apocalyptic number.

It is an amenable number.

1814083424 is an abundant number, since it is smaller than the sum of its proper divisors (1826219872).

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

1814083424 is a wasteful number, since it uses less digits than its factorization.

1814083424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 1814083424 is about 42592.0582268573. The cubic root of 1814083424 is about 1219.6046878320.

The spelling of 1814083424 in words is "one billion, eight hundred fourteen million, eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 67 134 251 268 502 536 1004 1072 2008 2144 3371 4016 6742 8032 13484 16817 26968 33634 53936 67268 107872 134536 225857 269072 451714 538144 846121 903428 1692242 1806856 3384484 3613712 6768968 7227424 13537936 27075872 56690107 113380214 226760428 453520856 907041712 1814083424