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14349088 = 2513172029
BaseRepresentation
bin110110101111…
…001100100000
31000000000020201
4312233030200
512133132323
61231314544
7232652035
oct66571440
930000221
1014349088
118110756
12497ba54
132c852b0
141c9738c
1513d68ad
hexdaf320

14349088 has 48 divisors (see below), whose sum is σ = 32228280. Its totient is φ = 6230016.

The previous prime is 14349059. The next prime is 14349103. The reversal of 14349088 is 88094341.

14349088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14227984 + 121104 = 3772^2 + 348^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6058 + ... + 8086.

Almost surely, 214349088 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 14349088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16114140).

14349088 is an abundant number, since it is smaller than the sum of its proper divisors (17879192).

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

14349088 is a wasteful number, since it uses less digits than its factorization.

14349088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 14349088 is about 3788.0190073441. The cubic root of 14349088 is about 243.0010217460.

The spelling of 14349088 in words is "fourteen million, three hundred forty-nine thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 2029 3536 4058 7072 8116 16232 26377 32464 34493 52754 64928 68986 105508 137972 211016 275944 422032 448409 551888 844064 896818 1103776 1793636 3587272 7174544 14349088