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348023466824 = 23119758769457
BaseRepresentation
bin1010001000001111101…
…00001010101101001000
31020021022100112220120112
411010013310022231020
521200223001414244
6423514010413452
734100226441605
oct5040764125510
91207270486515
10348023466824
111246611a0760
1257548431288
1326a8424c677
1412bb71656ac
1590bd77939e
hex5107d0ab48

348023466824 has 64 divisors (see below), whose sum is σ = 720440602560. Its totient is φ = 156292669440.

The previous prime is 348023466751. The next prime is 348023466839. The reversal of 348023466824 is 428664320843.

It is a super-2 number, since 2×3480234668242 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4975904 + ... + 5045360.

It is an arithmetic number, because the mean of its divisors is an integer number (11256884415).

Almost surely, 2348023466824 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 348023466824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360220301280).

348023466824 is an abundant number, since it is smaller than the sum of its proper divisors (372417135736).

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

348023466824 is a wasteful number, since it uses less digits than its factorization.

348023466824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70158 (or 70154 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 50.

The spelling of 348023466824 in words is "three hundred forty-eight billion, twenty-three million, four hundred sixty-six thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 97 194 388 587 776 1067 1174 2134 2348 4268 4696 6457 8536 12914 25828 51656 56939 69457 113878 138914 227756 277828 455512 555656 626329 764027 1252658 1528054 2505316 3056108 5010632 6112216 6737329 13474658 26949316 40771259 53898632 74110619 81542518 148221238 163085036 296442476 326170072 448483849 592884952 896967698 1793935396 3587870792 3954812123 7909624246 15819248492 31638496984 43502933353 87005866706 174011733412 348023466824