Search a number
-
+
3344380074 = 23271011092411
BaseRepresentation
bin1100011101010111…
…0011000010101010
322122002001002222200
43013111303002222
523322130130244
61311505401030
7145606522140
oct30725630252
98562032880
103344380074
1114668a7282
12794039176
13413b50729
1423a24d590
1514891c669
hexc75730aa

3344380074 has 96 divisors (see below), whose sum is σ = 8443543680. Its totient is φ = 937008000.

The previous prime is 3344380073. The next prime is 3344380093. The reversal of 3344380074 is 4700834433.

It is a happy number.

3344380074 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33443800742 = 22369756158736490952, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3344380073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1385929 + ... + 1388339.

It is an arithmetic number, because the mean of its divisors is an integer number (87953580).

Almost surely, 23344380074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3344380074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221771840).

3344380074 is an abundant number, since it is smaller than the sum of its proper divisors (5099163606).

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

3344380074 is a wasteful number, since it uses less digits than its factorization.

3344380074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3344380074 is about 57830.6153693699. The cubic root of 3344380074 is about 1495.4499265099.

The spelling of 3344380074 in words is "three billion, three hundred forty-four million, three hundred eighty thousand, seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 109 126 202 218 303 327 606 654 707 763 909 981 1414 1526 1818 1962 2121 2289 2411 4242 4578 4822 6363 6867 7233 11009 12726 13734 14466 16877 21699 22018 33027 33754 43398 50631 66054 77063 99081 101262 151893 154126 198162 231189 243511 262799 303786 462378 487022 525598 693567 730533 788397 1387134 1461066 1576794 1704577 1839593 2191599 2365191 3409154 3679186 4383198 4730382 5113731 5518779 10227462 11037558 15341193 16556337 26542699 30682386 33112674 53085398 79628097 159256194 185798893 238884291 371597786 477768582 557396679 1114793358 1672190037 3344380074