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344010018 = 23112736491
BaseRepresentation
bin10100100000010…
…010110100100010
3212222022112000210
4110200102310202
51201031310033
654045154550
711345015442
oct2440226442
9788275023
10344010018
11167203900
129725ba56
1356369931
143398c122
1520303d63
hex14812d22

344010018 has 48 divisors (see below), whose sum is σ = 766731168. Its totient is φ = 102801600.

The previous prime is 344010013. The next prime is 344010031. The reversal of 344010018 is 810010443.

It is a super-3 number, since 3×3440100183 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344009976 and 344010003.

It is not an unprimeable number, because it can be changed into a prime (344010013) 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, 49753 + ... + 56243.

It is an arithmetic number, because the mean of its divisors is an integer number (15973566).

Almost surely, 2344010018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344010018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383365584).

344010018 is an abundant number, since it is smaller than the sum of its proper divisors (422721150).

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

344010018 is a wasteful number, since it uses less digits than its factorization.

344010018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6591 (or 6580 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 344010018 is about 18547.5070562057. The cubic root of 344010018 is about 700.6864137636.

The spelling of 344010018 in words is "three hundred forty-four million, ten thousand, eighteen".

Divisors: 1 2 3 6 11 22 33 66 73 121 146 219 242 363 438 726 803 1606 2409 4818 6491 8833 12982 17666 19473 26499 38946 52998 71401 142802 214203 428406 473843 785411 947686 1421529 1570822 2356233 2843058 4712466 5212273 10424546 15636819 31273638 57335003 114670006 172005009 344010018