Search a number
-
+
34411202304 = 283315327271
BaseRepresentation
bin100000000011000100…
…010100011100000000
310021211011202012100020
4200003010110130000
51030433231433204
623450331253440
72325512251653
oct400304243400
9107734665306
1034411202304
1113659254676
1268042aa280
13332524ac8b
14194623b89a
15d66026bd9
hex803114700

34411202304 has 144 divisors (see below), whose sum is σ = 96325576704. Its totient is φ = 10890547200.

The previous prime is 34411202279. The next prime is 34411202377. The reversal of 34411202304 is 40320211443.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1248189 + ... + 1275459.

It is an arithmetic number, because the mean of its divisors is an integer number (668927616).

Almost surely, 234411202304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34411202304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48162788352).

34411202304 is an abundant number, since it is smaller than the sum of its proper divisors (61914374400).

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

34411202304 is a wasteful number, since it uses less digits than its factorization.

34411202304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27374 (or 27360 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34411202304 its reverse (40320211443), we get a palindrome (74731413747).

The spelling of 34411202304 in words is "thirty-four billion, four hundred eleven million, two hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 53 62 64 93 96 106 124 128 159 186 192 212 248 256 318 372 384 424 496 636 744 768 848 992 1272 1488 1643 1696 1984 2544 2976 3286 3392 3968 4929 5088 5952 6572 6784 7936 9858 10176 11904 13144 13568 19716 20352 23808 26288 27271 39432 40704 52576 54542 78864 81813 105152 109084 157728 163626 210304 218168 315456 327252 420608 436336 630912 654504 845401 872672 1261824 1309008 1445363 1690802 1745344 2536203 2618016 2890726 3381604 3490688 4336089 5072406 5236032 5781452 6763208 6981376 8672178 10144812 10472064 11562904 13526416 17344356 20289624 20944128 23125808 27052832 34688712 40579248 44806253 46251616 54105664 69377424 81158496 89612506 92503232 108211328 134418759 138754848 162316992 179225012 185006464 216422656 268837518 277509696 324633984 358450024 370012928 537675036 555019392 649267968 716900048 1075350072 1110038784 1433800096 2150700144 2867600192 4301400288 5735200384 8602800576 11470400768 17205601152 34411202304