Search a number
-
+
34103333674074 = 2374324597679281
BaseRepresentation
bin1111100000100010011010…
…00101101101110001011010
311110202020122221220222210010
413300101031011231301122
513432222111410032244
6200310504420302350
710116612254213250
oct760211505556132
9143666587828703
1034103333674074
11a959162872465
1239a95555419b6
131604c135b9b12
1485c8783b05d0
153e218c9c3eb9
hex1f044d16dc5a

34103333674074 has 64 divisors (see below), whose sum is σ = 79795726433280. Its totient is φ = 9513337800960.

The previous prime is 34103333674049. The next prime is 34103333674127. The reversal of 34103333674074 is 47047633330143.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601314 + ... + 8280594.

It is an arithmetic number, because the mean of its divisors is an integer number (1246808225520).

Almost surely, 234103333674074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34103333674074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39897863216640).

34103333674074 is an abundant number, since it is smaller than the sum of its proper divisors (45692392759206).

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

34103333674074 is a wasteful number, since it uses less digits than its factorization.

34103333674074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7681795.

The product of its (nonzero) digits is 4572288, while the sum is 48.

The spelling of 34103333674074 in words is "thirty-four trillion, one hundred three billion, three hundred thirty-three million, six hundred seventy-four thousand, seventy-four".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 258 301 602 903 1806 2459 4918 7377 14754 17213 34426 51639 103278 105737 211474 317211 634422 740159 1480318 2220477 4440954 7679281 15358562 23037843 46075686 53754967 107509934 161264901 322529802 330209083 660418166 990627249 1981254498 2311463581 4622927162 6934390743 13868781486 18883351979 37766703958 56650055937 113300111874 132183463853 264366927706 396550391559 793100783118 811984135097 1623968270194 2435952405291 4871904810582 5683888945679 11367777891358 17051666837037 34103333674074