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334243421424 = 243211593576479
BaseRepresentation
bin1001101110100100111…
…01011101110011110000
31011221201222222001222200
410313102131131303300
520434012303441144
6413314352303200
733101602130253
oct4672235356360
91157658861880
10334243421424
1111982a774690
1254941541b00
1325699393653
141226ad8709a
158a63ae2c69
hex4dd275dcf0

334243421424 has 120 divisors (see below), whose sum is σ = 1037751436800. Its totient is φ = 99569147520.

The previous prime is 334243421423. The next prime is 334243421431. The reversal of 334243421424 is 424124342433.

334243421424 is a `hidden beast` number, since 3 + 3 + 4 + 2 + 434 + 214 + 2 + 4 = 666.

It is a super-2 number, since 2×3342434214242 (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 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 (334243421423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1694784 + ... + 1881695.

It is an arithmetic number, because the mean of its divisors is an integer number (8647928640).

Almost surely, 2334243421424 is an apocalyptic number.

It is an amenable number.

334243421424 is an abundant number, since it is smaller than the sum of its proper divisors (703508015376).

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

334243421424 is a wasteful number, since it uses less digits than its factorization.

334243421424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3576563 (or 3576554 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 334243421424 its reverse (424124342433), we get a palindrome (758367763857).

The spelling of 334243421424 in words is "three hundred thirty-four billion, two hundred forty-three million, four hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 59 66 72 88 99 118 132 144 176 177 198 236 264 354 396 472 528 531 649 708 792 944 1062 1298 1416 1584 1947 2124 2596 2832 3894 4248 5192 5841 7788 8496 10384 11682 15576 23364 31152 46728 93456 3576479 7152958 10729437 14305916 21458874 28611832 32188311 39341269 42917748 57223664 64376622 78682538 85835496 118023807 128753244 157365076 171670992 211012261 236047614 257506488 314730152 354071421 422024522 472095228 515012976 629460304 633036783 708142842 844049044 944190456 1266073566 1416285684 1688098088 1888380912 1899110349 2321134871 2532147132 2832571368 3376196176 3798220698 4642269742 5064294264 5665142736 6963404613 7596441396 9284539484 10128588528 13926809226 15192882792 18569078968 20890213839 27853618452 30385765584 37138157936 41780427678 55707236904 83560855356 111414473808 167121710712 334243421424