Search a number
-
+
334214000323300 = 22524615372414361
BaseRepresentation
bin100101111111101110100001…
…0110001001010101011100100
31121211100112202022200211211101
41023333131002301022223210
5322301230233040321200
63142451443035045444
7130253110330002466
oct11377350261125344
91554315668624741
10334214000323300
11975443a8272469
1231598ab45a0884
1311464325351a16
145c76088762136
152898a16c1126a
hex12ff742c4aae4

334214000323300 has 36 divisors (see below), whose sum is σ = 725260104633316. Its totient is φ = 133682701708800.

The previous prime is 334214000323241. The next prime is 334214000323339. The reversal of 334214000323300 is 3323000412433.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1162377234496 + 333051623088804 = 1078136^2 + 18249702^2 .

It is a super-2 number, since 2×3342140003233002 (a number of 30 digits) contains 22 as substring.

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, 31591881 + ... + 40822480.

Almost surely, 2334214000323300 is an apocalyptic number.

It is an amenable number.

334214000323300 is an abundant number, since it is smaller than the sum of its proper divisors (391046104310016).

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

334214000323300 is a wasteful number, since it uses less digits than its factorization.

334214000323300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72460528 (or 72460521 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 334214000323300 its reverse (3323000412433), we get a palindrome (337537000735733).

The spelling of 334214000323300 in words is "three hundred thirty-four trillion, two hundred fourteen billion, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 46153 92306 184612 230765 461530 923060 1153825 2307650 4615300 72414361 144828722 289657444 362071805 724143610 1448287220 1810359025 3620718050 7241436100 3342140003233 6684280006466 13368560012932 16710700016165 33421400032330 66842800064660 83553500080825 167107000161650 334214000323300