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334214112 = 2533481397
BaseRepresentation
bin10011111010111…
…011001111100000
3212021212211120110
4103322323033200
51141024322422
653055211320
711165526111
oct2372731740
9767784513
10334214112
11161723011
1293b16b40
1354319c3b
143255c208
151e51b60c
hex13ebb3e0

334214112 has 24 divisors (see below), whose sum is σ = 877312296. Its totient is φ = 111404672.

The previous prime is 334214087. The next prime is 334214113. The reversal of 334214112 is 211412433.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×3342141122 = 223398145319897088, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334214113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1740603 + ... + 1740794.

It is an arithmetic number, because the mean of its divisors is an integer number (36554679).

Almost surely, 2334214112 is an apocalyptic number.

334214112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

334214112 is an abundant number, since it is smaller than the sum of its proper divisors (543098184).

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

334214112 is a wasteful number, since it uses less digits than its factorization.

334214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481410 (or 3481402 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 334214112 is about 18281.5237876934. The cubic root of 334214112 is about 693.9714350680.

Adding to 334214112 its reverse (211412433), we get a palindrome (545626545).

The spelling of 334214112 in words is "three hundred thirty-four million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3481397 6962794 10444191 13925588 20888382 27851176 41776764 55702352 83553528 111404704 167107056 334214112