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14480388 = 22321330941
BaseRepresentation
bin110111001111…
…010000000100
31000020200100200
4313033100010
512201333023
61234210500
7234036606
oct67172004
930220320
1014480388
1181a036a
124a23a30
132cccca0
141ccd176
151410743
hexdcf404

14480388 has 36 divisors (see below), whose sum is σ = 39420108. Its totient is φ = 4455360.

The previous prime is 14480387. The next prime is 14480399. The reversal of 14480388 is 88308441.

It can be written as a sum of positive squares in 2 ways, for example, as 3069504 + 11410884 = 1752^2 + 3378^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14480381) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15003 + ... + 15938.

It is an arithmetic number, because the mean of its divisors is an integer number (1095003).

Almost surely, 214480388 is an apocalyptic number.

14480388 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14480388 is an abundant number, since it is smaller than the sum of its proper divisors (24939720).

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

14480388 is a wasteful number, since it uses less digits than its factorization.

14480388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30964 (or 30959 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 14480388 is about 3805.3104998147. The cubic root of 14480388 is about 243.7399585607.

The spelling of 14480388 in words is "fourteen million, four hundred eighty thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 30941 61882 92823 123764 185646 278469 371292 402233 556938 804466 1113876 1206699 1608932 2413398 3620097 4826796 7240194 14480388