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14350840 = 2357107479
BaseRepresentation
bin110110101111…
…100111111000
31000000002122121
4312233213320
512133211330
61231331024
7232660120
oct66574770
930002577
1014350840
118111aa9
124980a74
132c8602a
141c97c80
1513d717a
hexdaf9f8

14350840 has 64 divisors (see below), whose sum is σ = 37324800. Its totient is φ = 4864128.

The previous prime is 14350837. The next prime is 14350841. The reversal of 14350840 is 4805341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14350841) 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, 29721 + ... + 30199.

It is an arithmetic number, because the mean of its divisors is an integer number (583200).

Almost surely, 214350840 is an apocalyptic number.

14350840 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 14350840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18662400).

14350840 is an abundant number, since it is smaller than the sum of its proper divisors (22973960).

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

14350840 is a wasteful number, since it uses less digits than its factorization.

14350840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 14350840 is about 3788.2502557249. The cubic root of 14350840 is about 243.0109113516.

The spelling of 14350840 in words is "fourteen million, three hundred fifty thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 107 140 214 280 428 479 535 749 856 958 1070 1498 1916 2140 2395 2996 3353 3745 3832 4280 4790 5992 6706 7490 9580 13412 14980 16765 19160 26824 29960 33530 51253 67060 102506 134120 205012 256265 358771 410024 512530 717542 1025060 1435084 1793855 2050120 2870168 3587710 7175420 14350840