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4374664734 = 23112371491093
BaseRepresentation
bin1000001001100000…
…00001011000011110
3102021212200222211210
410010300001120132
532424403232414
62002032125250
7213260015406
oct40460013036
912255628753
104374664734
111945425400
12a21096826
1354943231b
142d7001806
151a90d1e59
hex104c0161e

4374664734 has 96 divisors (see below), whose sum is σ = 9952336800. Its totient is φ = 1279998720.

The previous prime is 4374664717. The next prime is 4374664739.

4374664734 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4374664739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4001892 + ... + 4002984.

It is an arithmetic number, because the mean of its divisors is an integer number (103670175).

Almost surely, 24374664734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4374664734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976168400).

4374664734 is an abundant number, since it is smaller than the sum of its proper divisors (5577672066).

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

4374664734 is a wasteful number, since it uses less digits than its factorization.

4374664734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1295 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 48.

The square root of 4374664734 is about 66141.2483553191. The cubic root of 4374664734 is about 1635.4913758435.

The spelling of 4374664734 in words is "four billion, three hundred seventy-four million, six hundred sixty-four thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 149 222 242 298 363 407 447 726 814 894 1093 1221 1639 2186 2442 3278 3279 4477 4917 5513 6558 8954 9834 11026 12023 13431 16539 18029 24046 26862 33078 36058 36069 40441 54087 60643 72138 80882 108174 121286 121323 132253 162857 181929 242646 264506 325714 363858 396759 444851 488571 667073 793518 889702 977142 1334146 1334553 1791427 2001219 2669106 3582854 4002438 4893361 5374281 6025709 9786722 10748562 12051418 14680083 18077127 19705697 29360166 36154254 39411394 59117091 66282799 118234182 132565598 198848397 397696794 729110789 1458221578 2187332367 4374664734