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14638340 = 2252413037
BaseRepresentation
bin110111110101…
…110100000100
31000112201000202
4313311310010
512221411330
61241430032
7235265243
oct67656404
930481022
1014638340
118299002
124a9b318
133056b52
141d3095a
151442445
hexdf5d04

14638340 has 24 divisors (see below), whose sum is σ = 30878232. Its totient is φ = 5829120.

The previous prime is 14638339. The next prime is 14638363. The reversal of 14638340 is 4383641.

It can be written as a sum of positive squares in 4 ways, for example, as 5299204 + 9339136 = 2302^2 + 3056^2 .

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 3302 + ... + 6338.

It is an arithmetic number, because the mean of its divisors is an integer number (1286593).

Almost surely, 214638340 is an apocalyptic number.

14638340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14638340 is an abundant number, since it is smaller than the sum of its proper divisors (16239892).

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

14638340 is a wasteful number, since it uses less digits than its factorization.

14638340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 14638340 is about 3826.0083638173. The cubic root of 14638340 is about 244.6229936708.

The spelling of 14638340 in words is "fourteen million, six hundred thirty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 241 482 964 1205 2410 3037 4820 6074 12148 15185 30370 60740 731917 1463834 2927668 3659585 7319170 14638340