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14474340 = 2232597829
BaseRepresentation
bin110111001101…
…110001100100
31000020101001200
4313031301210
512201134330
61234122500
7234013146
oct67156144
930211050
1014474340
118196871
124a20430
132cca2ca
141ccac96
15140da60
hexdcdc64

14474340 has 72 divisors (see below), whose sum is σ = 44411640. Its totient is φ = 3815424.

The previous prime is 14474323. The next prime is 14474351. The reversal of 14474340 is 4347441.

It can be written as a sum of positive squares in 4 ways, for example, as 1557504 + 12916836 = 1248^2 + 3594^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17046 + ... + 17874.

Almost surely, 214474340 is an apocalyptic number.

14474340 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 14474340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22205820).

14474340 is an abundant number, since it is smaller than the sum of its proper divisors (29937300).

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

14474340 is a wasteful number, since it uses less digits than its factorization.

14474340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 14474340 is about 3804.5157379094. The cubic root of 14474340 is about 243.7060196784.

The spelling of 14474340 in words is "fourteen million, four hundred seventy-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 829 873 970 1164 1455 1658 1746 1940 2487 2910 3316 3492 4145 4365 4974 5820 7461 8290 8730 9948 12435 14922 16580 17460 24870 29844 37305 49740 74610 80413 149220 160826 241239 321652 402065 482478 723717 804130 964956 1206195 1447434 1608260 2412390 2894868 3618585 4824780 7237170 14474340