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214343412 = 223171012103
BaseRepresentation
bin11001100011010…
…01111011110100
3112221022202212220
430301221323310
5414332442122
633134042340
75211613623
oct1461517364
9487282786
10214343412
11aaa9a418
125b9493b0
1335539b2a
14206776ba
1513c3e25c
hexcc69ef4

214343412 has 72 divisors (see below), whose sum is σ = 540042048. Its totient is φ = 65932800.

The previous prime is 214343411. The next prime is 214343461.

214343412 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214343411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2080953 + ... + 2081055.

It is an arithmetic number, because the mean of its divisors is an integer number (7500584).

Almost surely, 2214343412 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 214343412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270021024).

214343412 is an abundant number, since it is smaller than the sum of its proper divisors (325698636).

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

214343412 is a wasteful number, since it uses less digits than its factorization.

214343412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 226 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 214343412 is about 14640.4717137120. The cubic root of 214343412 is about 598.4621841268.

The spelling of 214343412 in words is "two hundred fourteen million, three hundred forty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 101 102 103 202 204 206 303 309 404 412 606 618 1212 1236 1717 1751 3434 3502 5151 5253 6868 7004 10201 10302 10403 10506 20402 20604 20806 21012 30603 31209 40804 41612 61206 62418 122412 124836 173417 176851 346834 353702 520251 530553 693668 707404 1040502 1050703 1061106 2081004 2101406 2122212 3152109 4202812 6304218 12608436 17861951 35723902 53585853 71447804 107171706 214343412