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214440304 = 24131397417
BaseRepresentation
bin11001100100000…
…01100101110000
3112221111200210111
430302001211300
5414344042204
633140111104
75212466251
oct1462014560
9487450714
10214440304
111000561a1
125b995494
1335571c70
14206a0b28
1513c5cd04
hexcc81970

214440304 has 40 divisors (see below), whose sum is σ = 450717680. Its totient is φ = 98247168.

The previous prime is 214440287. The next prime is 214440313. The reversal of 214440304 is 403044412.

It is a super-2 number, since 2×2144403042 = 91969287959224832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25204 + ... + 32620.

It is an arithmetic number, because the mean of its divisors is an integer number (11267942).

Almost surely, 2214440304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214440304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225358840).

214440304 is an abundant number, since it is smaller than the sum of its proper divisors (236277376).

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

214440304 is a wasteful number, since it uses less digits than its factorization.

214440304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7577 (or 7571 counting only the distinct ones).

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

The square root of 214440304 is about 14643.7803862254. The cubic root of 214440304 is about 598.5523470142.

Adding to 214440304 its reverse (403044412), we get a palindrome (617484716).

The spelling of 214440304 in words is "two hundred fourteen million, four hundred forty thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 139 208 278 556 1112 1807 2224 3614 7228 7417 14456 14834 28912 29668 59336 96421 118672 192842 385684 771368 1030963 1542736 2061926 4123852 8247704 13402519 16495408 26805038 53610076 107220152 214440304