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34443124434 = 232291011314987
BaseRepresentation
bin100000000100111110…
…000101111011010010
310021220101211000021100
4200010332011323102
51031014414440214
623453431405230
72326350504255
oct400476057322
9107811730240
1034443124434
11136752781a4
126812b23816
13332ba46b04
14194a58b09c
15d68c30309
hex804f85ed2

34443124434 has 96 divisors (see below), whose sum is σ = 78575365440. Its totient is φ = 10889424000.

The previous prime is 34443124423. The next prime is 34443124451. The reversal of 34443124434 is 43442134443.

34443124434 is a `hidden beast` number, since 344 + 43 + 1 + 244 + 34 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6904089 + ... + 6909075.

It is an arithmetic number, because the mean of its divisors is an integer number (818493390).

Almost surely, 234443124434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34443124434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39287682720).

34443124434 is an abundant number, since it is smaller than the sum of its proper divisors (44132241006).

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

34443124434 is a wasteful number, since it uses less digits than its factorization.

34443124434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5256 (or 5253 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 34443124434 its reverse (43442134443), we get a palindrome (77885258877).

The spelling of 34443124434 in words is "thirty-four billion, four hundred forty-three million, one hundred twenty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 29 58 87 101 131 174 202 261 262 303 393 522 606 786 909 1179 1818 2358 2929 3799 4987 5858 7598 8787 9974 11397 13231 14961 17574 22794 26361 26462 29922 34191 39693 44883 52722 68382 79386 89766 119079 144623 238158 289246 383699 433869 503687 653297 767398 867738 1007374 1151097 1301607 1306594 1511061 1959891 2302194 2603214 3022122 3453291 3919782 4533183 5879673 6906582 9066366 11759346 14606923 18945613 29213846 37891226 43820769 56836839 65982997 87641538 113673678 131462307 131965994 170510517 197948991 262924614 341021034 395897982 593846973 1187693946 1913506913 3827013826 5740520739 11481041478 17221562217 34443124434