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334220256 = 253614327
BaseRepresentation
bin10011111010111…
…100101111100000
3212021220011000000
4103322330233200
51141030022011
653055300000
711165553036
oct2372745740
9767804000
10334220256
11161727697
1293b1a600
135431c986
1432560556
151e51d356
hex13ebcbe0

334220256 has 84 divisors (see below), whose sum is σ = 986611752. Its totient is φ = 111398976.

The previous prime is 334220251. The next prime is 334220303. The reversal of 334220256 is 652022433.

It is a super-2 number, since 2×3342202562 = 223406359041411072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334220251) 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 13 ways as a sum of consecutive naturals, for example, 16165 + ... + 30491.

It is an arithmetic number, because the mean of its divisors is an integer number (11745378).

Almost surely, 2334220256 is an apocalyptic number.

334220256 is a gapful number since it is divisible by the number (36) 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 334220256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493305876).

334220256 is an abundant number, since it is smaller than the sum of its proper divisors (652391496).

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

334220256 is an equidigital number, since it uses as much as digits as its factorization.

334220256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14355 (or 14332 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 334220256 is about 18281.6918254302. The cubic root of 334220256 is about 693.9756875658.

Adding to 334220256 its reverse (652022433), we get a palindrome (986242689).

The spelling of 334220256 in words is "three hundred thirty-four million, two hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 7776 11664 14327 23328 28654 42981 57308 85962 114616 128943 171924 229232 257886 343848 386829 458464 515772 687696 773658 1031544 1160487 1375392 1547316 2063088 2320974 3094632 3481461 4126176 4641948 6189264 6962922 9283896 10444383 12378528 13925844 18567792 20888766 27851688 37135584 41777532 55703376 83555064 111406752 167110128 334220256