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214040304 = 24323494259
BaseRepresentation
bin11001100000111…
…11111011110000
3112220202101002200
430300133323300
5414243242204
633123343200
75206212132
oct1460377360
9486671080
10214040304
11aa902715
125b821b00
1335461b8a
14205d9052
1513bce539
hexcc1fef0

214040304 has 60 divisors (see below), whose sum is σ = 600873000. Its totient is φ = 71125632.

The previous prime is 214040293. The next prime is 214040347. The reversal of 214040304 is 403040412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48127 + ... + 52385.

It is an arithmetic number, because the mean of its divisors is an integer number (10014550).

Almost surely, 2214040304 is an apocalyptic number.

214040304 is a gapful number since it is divisible by the number (24) 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 214040304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300436500).

214040304 is an abundant number, since it is smaller than the sum of its proper divisors (386832696).

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

214040304 is a wasteful number, since it uses less digits than its factorization.

214040304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4622 (or 4613 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 214040304 is about 14630.1163358327. The cubic root of 214040304 is about 598.1799512869.

Adding to 214040304 its reverse (403040412), we get a palindrome (617080716).

The spelling of 214040304 in words is "two hundred fourteen million, forty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 349 698 1047 1396 2094 2792 3141 4188 4259 5584 6282 8376 8518 12564 12777 16752 17036 25128 25554 34072 38331 50256 51108 68144 76662 102216 153324 204432 306648 613296 1486391 2972782 4459173 5945564 8918346 11891128 13377519 17836692 23782256 26755038 35673384 53510076 71346768 107020152 214040304