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334234423344 = 243172181133117
BaseRepresentation
bin1001101110100011110…
…11001001000000110000
31011221201101000220221110
410313101323021000300
520434003003021334
6413313431353320
733101432502633
oct4672173110060
91157641026843
10334234423344
11119825689258
125493a522840
1325697562b43
1412269ac3c1a
158a62e16ae9
hex4dd1ec9030

334234423344 has 120 divisors (see below), whose sum is σ = 922291556368. Its totient is φ = 104277749760.

The previous prime is 334234423339. The next prime is 334234423357. The reversal of 334234423344 is 443324432433.

It is a happy number.

It is a super-2 number, since 2×3342344233442 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2444274 + ... + 2577390.

Almost surely, 2334234423344 is an apocalyptic number.

334234423344 is a gapful number since it is divisible by the number (34) 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 334234423344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461145778184).

334234423344 is an abundant number, since it is smaller than the sum of its proper divisors (588057133024).

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

334234423344 is a wasteful number, since it uses less digits than its factorization.

334234423344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133343 (or 133320 counting only the distinct ones).

The product of its digits is 995328, while the sum is 39.

Adding to 334234423344 its reverse (443324432433), we get a palindrome (777558855777).

The spelling of 334234423344 in words is "three hundred thirty-four billion, two hundred thirty-four million, four hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 181 204 272 289 362 408 543 578 724 816 867 1086 1156 1448 1734 2172 2312 2896 3077 3468 4344 4624 6154 6936 8688 9231 12308 13872 18462 24616 36924 49232 52309 73848 104618 133117 147696 156927 209236 266234 313854 399351 418472 532468 627708 798702 836944 1064936 1255416 1597404 2129872 2262989 2510832 3194808 4525978 6389616 6788967 9051956 13577934 18103912 24094177 27155868 36207824 38470813 48188354 54311736 72282531 76941626 96376708 108623472 115412439 144565062 153883252 192753416 230824878 289130124 307766504 385506832 409601009 461649756 578260248 615533008 819202018 923299512 1156520496 1228803027 1638404036 1846599024 2457606054 3276808072 4915212108 6553616144 6963217153 9830424216 13926434306 19660848432 20889651459 27852868612 41779302918 55705737224 83558605836 111411474448 167117211672 334234423344