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14374008 = 23321118149
BaseRepresentation
bin110110110101…
…010001111000
31000001021102200
4312311101320
512134432013
61232030200
7233114505
oct66652170
930037380
1014374008
118128450
124992360
132c9373c
141ca24ac
1513dde73
hexdb5478

14374008 has 48 divisors (see below), whose sum is σ = 42471000. Its totient is φ = 4355520.

The previous prime is 14374007. The next prime is 14374037. The reversal of 14374008 is 80047341.

It is a super-2 number, since 2×143740082 = 413224211968128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14374007) 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 11 ways as a sum of consecutive naturals, for example, 8283 + ... + 9866.

Almost surely, 214374008 is an apocalyptic number.

14374008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14374008 is an abundant number, since it is smaller than the sum of its proper divisors (28096992).

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

14374008 is a wasteful number, since it uses less digits than its factorization.

14374008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18172 (or 18165 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 14374008 is about 3791.3068986828. The cubic root of 14374008 is about 243.1416133355.

It can be divided in two parts, 1437 and 4008, that added together give a palindrome (5445).

The spelling of 14374008 in words is "fourteen million, three hundred seventy-four thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 18149 36298 54447 72596 108894 145192 163341 199639 217788 326682 399278 435576 598917 653364 798556 1197834 1306728 1597112 1796751 2395668 3593502 4791336 7187004 14374008