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214400304 = 2433496297
BaseRepresentation
bin11001100011101…
…11110100110000
3112221102122221000
430301313310300
5414341302204
633135202000
75212241526
oct1461676460
9487378830
10214400304
11100029138
125b976300
13355599b1
1420690316
1513c51039
hexcc77d30

214400304 has 40 divisors (see below), whose sum is σ = 615409520. Its totient is φ = 71466624.

The previous prime is 214400281. The next prime is 214400327. The reversal of 214400304 is 403004412.

It is an interprime number because it is at equal distance from previous prime (214400281) and next prime (214400327).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247717 + ... + 248580.

It is an arithmetic number, because the mean of its divisors is an integer number (15385238).

Almost surely, 2214400304 is an apocalyptic number.

214400304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214400304 is an abundant number, since it is smaller than the sum of its proper divisors (401009216).

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

214400304 is a wasteful number, since it uses less digits than its factorization.

214400304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496314 (or 496302 counting only the distinct ones).

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

The square root of 214400304 is about 14642.4145549838. The cubic root of 214400304 is about 598.5151282914.

Adding to 214400304 its reverse (403004412), we get a palindrome (617404716).

The spelling of 214400304 in words is "two hundred fourteen million, four hundred thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 496297 992594 1488891 1985188 2977782 3970376 4466673 5955564 7940752 8933346 11911128 13400019 17866692 23822256 26800038 35733384 53600076 71466768 107200152 214400304