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343431290820 = 2235193184716057
BaseRepresentation
bin1001111111101100001…
…10011001111111000100
31012211110022120012100210
410333312012121333010
521111321402301240
6421434204235420
733545355543432
oct4776606317704
91184408505323
10343431290820
11122715012982
125668653bb70
1326501a41667
141289d303d52
158e0052e780
hex4ff6199fc4

343431290820 has 96 divisors (see below), whose sum is σ = 967173596928. Its totient is φ = 91052163072.

The previous prime is 343431290641. The next prime is 343431290833. The reversal of 343431290820 is 28092134343.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21380232 + ... + 21396288.

It is an arithmetic number, because the mean of its divisors is an integer number (10074724968).

Almost surely, 2343431290820 is an apocalyptic number.

343431290820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343431290820 is an abundant number, since it is smaller than the sum of its proper divisors (623742306108).

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

343431290820 is a wasteful number, since it uses less digits than its factorization.

343431290820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18109 (or 18107 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 343431290820 in words is "three hundred forty-three billion, four hundred thirty-one million, two hundred ninety thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 193 386 579 772 965 1158 1847 1930 2316 2895 3694 3860 5541 5790 7388 9235 11082 11580 16057 18470 22164 27705 32114 36940 48171 55410 64228 80285 96342 110820 160570 192684 240855 321140 356471 481710 712942 963420 1069413 1425884 1782355 2138826 3099001 3564710 4277652 5347065 6198002 7129420 9297003 10694130 12396004 15495005 18594006 21388260 29657279 30990010 37188012 46485015 59314558 61980020 88971837 92970030 118629116 148286395 177943674 185940060 296572790 355887348 444859185 593145580 889718370 1779436740 5723854847 11447709694 17171564541 22895419388 28619274235 34343129082 57238548470 68686258164 85857822705 114477096940 171715645410 343431290820