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343711127472 = 243172322780677
BaseRepresentation
bin1010000000001101100…
…01111001011110110000
31012212011211010101002020
411000012301321132300
521112410022034342
6421522042151440
733555324243636
oct5000661713660
91185154111066
10343711127472
11122848a75339
12567441b2580
13265479cc88b
14128c8549356
158e19da90ec
hex5006c797b0

343711127472 has 160 divisors (see below), whose sum is σ = 985361075712. Its totient is φ = 102686994432.

The previous prime is 343711127401. The next prime is 343711127497. The reversal of 343711127472 is 274721117343.

It is a happy number.

It is a super-2 number, since 2×3437111274722 (a number of 24 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 4219998 + ... + 4300674.

Almost surely, 2343711127472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343711127472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492680537856).

343711127472 is an abundant number, since it is smaller than the sum of its proper divisors (641649948240).

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

343711127472 is a wasteful number, since it uses less digits than its factorization.

343711127472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80955 (or 80949 counting only the distinct ones).

The product of its digits is 197568, while the sum is 42.

The spelling of 343711127472 in words is "three hundred forty-three billion, seven hundred eleven million, one hundred twenty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 136 138 184 204 227 272 276 368 391 408 454 552 681 782 816 908 1104 1173 1362 1564 1816 2346 2724 3128 3632 3859 4692 5221 5448 6256 7718 9384 10442 10896 11577 15436 15663 18768 20884 23154 30872 31326 41768 46308 61744 62652 80677 83536 88757 92616 125304 161354 177514 185232 242031 250608 266271 322708 355028 484062 532542 645416 710056 968124 1065084 1290832 1371509 1420112 1855571 1936248 2130168 2743018 3711142 3872496 4114527 4260336 5486036 5566713 7422284 8229054 10972072 11133426 14844568 16458108 18313679 21944144 22266852 29689136 31544707 32916216 36627358 44533704 54941037 63089414 65832432 73254716 89067408 94634121 109882074 126178828 146509432 189268242 219764148 252357656 293018864 311332543 378536484 421214617 439528296 504715312 622665086 757072968 842429234 879056592 933997629 1245330172 1263643851 1514145936 1684858468 1867995258 2490660344 2527287702 3369716936 3735990516 4981320688 5054575404 6739433872 7160648489 7471981032 10109150808 14321296978 14943962064 20218301616 21481945467 28642593956 42963890934 57285187912 85927781868 114570375824 171855563736 343711127472