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334313544420 = 2232516315717253
BaseRepresentation
bin1001101110101101010…
…00111101101011100100
31011221220212220200122200
410313112220331223210
520434133231410140
6413325335254500
733103413145422
oct4672650755344
91157825820580
10334313544420
1111986630a079
1254960b1a430
13256aaa7614b
14122763dc112
158a69d45030
hex4dd6a3dae4

334313544420 has 144 divisors (see below), whose sum is σ = 1021096020672. Its totient is φ = 88534736640.

The previous prime is 334313544377. The next prime is 334313544451. The reversal of 334313544420 is 24445313433.

It is a happy number.

334313544420 is a `hidden beast` number, since 33 + 43 + 1 + 3 + 544 + 42 + 0 = 666.

It is a super-2 number, since 2×3343135444202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46089514 + ... + 46096766.

It is an arithmetic number, because the mean of its divisors is an integer number (7090944588).

Almost surely, 2334313544420 is an apocalyptic number.

334313544420 is a gapful number since it is divisible by the number (30) 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 334313544420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510548010336).

334313544420 is an abundant number, since it is smaller than the sum of its proper divisors (686782476252).

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

334313544420 is a wasteful number, since it uses less digits than its factorization.

334313544420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9002 (or 8997 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 334313544420 its reverse (24445313433), we get a palindrome (358758857853).

The spelling of 334313544420 in words is "three hundred thirty-four billion, three hundred thirteen million, five hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 163 180 326 489 652 815 978 1467 1571 1630 1956 2445 2934 3142 3260 4713 4890 5868 6284 7253 7335 7855 9426 9780 14139 14506 14670 15710 18852 21759 23565 28278 29012 29340 31420 36265 43518 47130 56556 65277 70695 72530 87036 94260 108795 130554 141390 145060 217590 256073 261108 282780 326385 435180 512146 652770 768219 1024292 1182239 1280365 1305540 1536438 2304657 2364478 2560730 3072876 3546717 3841095 4609314 4728956 5121460 5911195 7093434 7682190 9218628 10640151 11394463 11523285 11822390 14186868 15364380 17733585 21280302 22788926 23046570 23644780 34183389 35467170 42560604 45577852 46093140 53200755 56972315 68366778 70934340 102550167 106401510 113944630 136733556 170916945 205100334 212803020 227889260 341833890 410200668 512750835 683667780 1025501670 1857297469 2051003340 3714594938 5571892407 7429189876 9286487345 11143784814 16715677221 18572974690 22287569628 27859462035 33431354442 37145949380 55718924070 66862708884 83578386105 111437848140 167156772210 334313544420