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14429408 = 257371741
BaseRepresentation
bin110111000010…
…110011100000
31000011002102112
4313002303200
512143220113
61233134452
7233435150
oct67026340
930132375
1014429408
118166034
1249ba428
132cb2a16
141cb8760
1514005a8
hexdc2ce0

14429408 has 48 divisors (see below), whose sum is σ = 33362784. Its totient is φ = 6013440.

The previous prime is 14429377. The next prime is 14429419. The reversal of 14429408 is 80492441.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7418 + ... + 9158.

It is an arithmetic number, because the mean of its divisors is an integer number (695058).

Almost surely, 214429408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14429408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16681392).

14429408 is an abundant number, since it is smaller than the sum of its proper divisors (18933376).

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

14429408 is a wasteful number, since it uses less digits than its factorization.

14429408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 14429408 is about 3798.6060601226. The cubic root of 14429408 is about 243.4535833167.

The spelling of 14429408 in words is "fourteen million, four hundred twenty-nine thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 1036 1184 1741 2072 3482 4144 6964 8288 12187 13928 24374 27856 48748 55712 64417 97496 128834 194992 257668 389984 450919 515336 901838 1030672 1803676 2061344 3607352 7214704 14429408