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14374080 = 2632572331
BaseRepresentation
bin110110110101…
…010011000000
31000001021112100
4312311103000
512134432310
61232030400
7233114640
oct66652300
930037470
1014374080
118128506
124992400
132c93796
141ca2520
1513ddec0
hexdb54c0

14374080 has 336 divisors, whose sum is σ = 60862464. Its totient is φ = 3041280.

The previous prime is 14374069. The next prime is 14374141. The reversal of 14374080 is 8047341.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×143740802 = 413228351692800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 463665 + ... + 463695.

Almost surely, 214374080 is an apocalyptic number.

14374080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30431232).

14374080 is an abundant number, since it is smaller than the sum of its proper divisors (46488384).

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

14374080 is a wasteful number, since it uses less digits than its factorization.

14374080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 71 counting only the distinct ones).

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

The square root of 14374080 is about 3791.3163940774. The cubic root of 14374080 is about 243.1420193036.

The spelling of 14374080 in words is "fourteen million, three hundred seventy-four thousand, eighty".