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14380464 = 2437127337
BaseRepresentation
bin110110110110…
…110110110000
31000001121021210
4312312312300
512140133324
61232120120
7233142360
oct66666660
930047253
1014380464
11813228a
124996040
132c96667
141ca49a0
1513e0d29
hexdb6db0

14380464 has 80 divisors (see below), whose sum is σ = 42917888. Its totient is φ = 4064256.

The previous prime is 14380459. The next prime is 14380469. The reversal of 14380464 is 46408341.

It is an interprime number because it is at equal distance from previous prime (14380459) and next prime (14380469).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (14380469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42504 + ... + 42840.

Almost surely, 214380464 is an apocalyptic number.

14380464 is a gapful number since it is divisible by the number (14) 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 14380464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21458944).

14380464 is an abundant number, since it is smaller than the sum of its proper divisors (28537424).

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

14380464 is a wasteful number, since it uses less digits than its factorization.

14380464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 14380464 is about 3792.1582245471. The cubic root of 14380464 is about 243.1780097557.

The spelling of 14380464 in words is "fourteen million, three hundred eighty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 127 168 254 336 337 381 508 674 762 889 1011 1016 1348 1524 1778 2022 2032 2359 2667 2696 3048 3556 4044 4718 5334 5392 6096 7077 7112 8088 9436 10668 14154 14224 16176 18872 21336 28308 37744 42672 42799 56616 85598 113232 128397 171196 256794 299593 342392 513588 599186 684784 898779 1027176 1198372 1797558 2054352 2396744 3595116 4793488 7190232 14380464