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214434040 = 23538313997
BaseRepresentation
bin11001100100000…
…00000011111000
3112221111101012111
430302000003320
5414343342130
633140022104
75212442062
oct1462000370
9487441174
10214434040
11100051517
125b991934
133556c162
142069c732
1513c5b02a
hexcc800f8

214434040 has 32 divisors (see below), whose sum is σ = 483770880. Its totient is φ = 85543552.

The previous prime is 214434029. The next prime is 214434041. The reversal of 214434040 is 40434412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214434041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8322 + ... + 22318.

It is an arithmetic number, because the mean of its divisors is an integer number (15117840).

Almost surely, 2214434040 is an apocalyptic number.

214434040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214434040 is an abundant number, since it is smaller than the sum of its proper divisors (269336840).

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

214434040 is a wasteful number, since it uses less digits than its factorization.

214434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14391 (or 14387 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 214434040 is about 14643.5665054658. The cubic root of 214434040 is about 598.5465188679.

Adding to 214434040 its reverse (40434412), we get a palindrome (254868452).

The spelling of 214434040 in words is "two hundred fourteen million, four hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 383 766 1532 1915 3064 3830 7660 13997 15320 27994 55988 69985 111976 139970 279940 559880 5360851 10721702 21443404 26804255 42886808 53608510 107217020 214434040