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334121312 = 2571639151
BaseRepresentation
bin10011111010100…
…100100101100000
3212021201010021102
4103322210211200
51141013340222
653053213532
711164661420
oct2372444540
9767633242
10334121312
1116166a318
1293a912a8
13542b6925
1432536480
151e4edd92
hex13ea4960

334121312 has 48 divisors (see below), whose sum is σ = 756467712. Its totient is φ = 142300800.

The previous prime is 334121311. The next prime is 334121351. The reversal of 334121312 is 213121433.

334121312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3341213122 = 223274102265202688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334121311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31937 + ... + 41087.

It is an arithmetic number, because the mean of its divisors is an integer number (15759744).

Almost surely, 2334121312 is an apocalyptic number.

334121312 is a gapful number since it is divisible by the number (32) 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 334121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378233856).

334121312 is an abundant number, since it is smaller than the sum of its proper divisors (422346400).

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

334121312 is a wasteful number, since it uses less digits than its factorization.

334121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9331 (or 9323 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 334121312 is about 18278.9855298373. The cubic root of 334121312 is about 693.9071982924.

Adding to 334121312 its reverse (213121433), we get a palindrome (547242745).

It can be divided in two parts, 334121 and 312, that added together give a palindrome (334433).

The spelling of 334121312 in words is "three hundred thirty-four million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 163 224 326 652 1141 1304 2282 2608 4564 5216 9128 9151 18256 18302 36512 36604 64057 73208 128114 146416 256228 292832 512456 1024912 1491613 2049824 2983226 5966452 10441291 11932904 20882582 23865808 41765164 47731616 83530328 167060656 334121312