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14045376 = 263191383
BaseRepresentation
bin110101100101…
…000011000000
3222102120122010
4311211003000
512043423001
61221012520
7230245422
oct65450300
928376563
1014045376
117a23554
124854140
132ba9c97
141c18812
1513768d6
hexd650c0

14045376 has 56 divisors (see below), whose sum is σ = 37453824. Its totient is φ = 4645120.

The previous prime is 14045359. The next prime is 14045393. The reversal of 14045376 is 67354041.

It is an interprime number because it is at equal distance from previous prime (14045359) and next prime (14045393).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 36481 + ... + 36863.

Almost surely, 214045376 is an apocalyptic number.

14045376 is a gapful number since it is divisible by the number (16) 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 14045376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18726912).

14045376 is an abundant number, since it is smaller than the sum of its proper divisors (23408448).

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

14045376 is a wasteful number, since it uses less digits than its factorization.

14045376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 14045376 is about 3747.7161045095. The cubic root of 14045376 is about 241.2743327851.

The spelling of 14045376 in words is "fourteen million, forty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 191 192 382 383 573 764 766 1146 1149 1528 1532 2292 2298 3056 3064 4584 4596 6112 6128 9168 9192 12224 12256 18336 18384 24512 36672 36768 73153 73536 146306 219459 292612 438918 585224 877836 1170448 1755672 2340896 3511344 4681792 7022688 14045376