Search a number
-
+
4341334830 = 2357213992111
BaseRepresentation
bin1000000101100001…
…11000001100101110
3102012112222122210220
410002300320030232
532342340203310
61554441512210
7212403510600
oct40260701456
912175878726
104341334830
111928630128
12a11aa2666
135425627a1
142d2807170
151a61eb670
hex102c3832e

4341334830 has 96 divisors (see below), whose sum is σ = 12134707200. Its totient is φ = 991126080.

The previous prime is 4341334819. The next prime is 4341334841. The reversal of 4341334830 is 384331434.

It is an interprime number because it is at equal distance from previous prime (4341334819) and next prime (4341334841).

It is a super-2 number, since 2×43413348302 = 37694376212342257800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4341334791 and 4341334800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2055475 + ... + 2057585.

It is an arithmetic number, because the mean of its divisors is an integer number (126403200).

Almost surely, 24341334830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4341334830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6067353600).

4341334830 is an abundant number, since it is smaller than the sum of its proper divisors (7793372370).

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

4341334830 is a wasteful number, since it uses less digits than its factorization.

4341334830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3534 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 4341334830 is about 65888.8065607505. The cubic root of 4341334830 is about 1631.3272627634.

The spelling of 4341334830 in words is "four billion, three hundred forty-one million, three hundred thirty-four thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1399 1470 2111 2798 4197 4222 6333 6995 8394 9793 10555 12666 13990 14777 19586 20985 21110 29379 29554 31665 41970 44331 48965 58758 63330 68551 73885 88662 97930 103439 137102 146895 147770 205653 206878 221655 293790 310317 342755 411306 443310 517195 620634 685510 1028265 1034390 1551585 2056530 2953289 3103170 5906578 8859867 14766445 17719734 20673023 29532890 41346046 44299335 62019069 88598670 103365115 124038138 144711161 206730230 289422322 310095345 434133483 620190690 723555805 868266966 1447111610 2170667415 4341334830