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214304430 = 23524129641
BaseRepresentation
bin11001100011000…
…00011010101110
3112221020210102010
430301200122232
5414330220210
633133142050
75211362154
oct1461403256
9487223363
10214304430
11aaa730aa
125b92a926
1335525172
14206673d4
1513c32920
hexcc606ae

214304430 has 32 divisors (see below), whose sum is σ = 516482208. Its totient is φ = 56908800.

The previous prime is 214304399. The next prime is 214304437. The reversal of 214304430 is 34403412.

214304430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 214304397 and 214304406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214304437) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7591 + ... + 22050.

It is an arithmetic number, because the mean of its divisors is an integer number (16140069).

Almost surely, 2214304430 is an apocalyptic number.

214304430 is an abundant number, since it is smaller than the sum of its proper divisors (302177778).

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

214304430 is a wasteful number, since it uses less digits than its factorization.

214304430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29892.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 214304430 is about 14639.1403436131. The cubic root of 214304430 is about 598.4259017470.

Adding to 214304430 its reverse (34403412), we get a palindrome (248707842).

The spelling of 214304430 in words is "two hundred fourteen million, three hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 241 482 723 1205 1446 2410 3615 7230 29641 59282 88923 148205 177846 296410 444615 889230 7143481 14286962 21430443 35717405 42860886 71434810 107152215 214304430