Search a number
-
+
34363076072 = 231317431572879
BaseRepresentation
bin100000000000001100…
…101110110111101000
310021200211012010120012
4200000030232313220
51030333421413242
623441451551052
72324356220153
oct400014566750
9107624163505
1034363076072
1113634073726
1267b015b488
13331829a710
14193dab0c9a
15d61bbc282
hex80032ede8

34363076072 has 128 divisors (see below), whose sum is σ = 75682252800. Its totient is φ = 14481911808.

The previous prime is 34363076071. The next prime is 34363076093. The reversal of 34363076072 is 27067036343.

It is not an unprimeable number, because it can be changed into a prime (34363076071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11934329 + ... + 11937207.

It is an arithmetic number, because the mean of its divisors is an integer number (591267600).

Almost surely, 234363076072 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 34363076072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37841126400).

34363076072 is an abundant number, since it is smaller than the sum of its proper divisors (41319176728).

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

34363076072 is a wasteful number, since it uses less digits than its factorization.

34363076072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 41.

The spelling of 34363076072 in words is "thirty-four billion, three hundred sixty-three million, seventy-six thousand, seventy-two".

Divisors: 1 2 4 8 13 17 26 34 43 52 68 86 104 136 157 172 221 314 344 442 559 628 731 884 1118 1256 1462 1768 2041 2236 2669 2879 2924 4082 4472 5338 5758 5848 6751 8164 9503 10676 11516 13502 16328 19006 21352 23032 27004 34697 37427 38012 48943 54008 69394 74854 76024 87763 97886 114767 123797 138788 149708 175526 195772 229534 247594 277576 299416 351052 391544 452003 459068 495188 636259 702104 904006 918136 990376 1272518 1491971 1609361 1808012 2104549 2545036 2983942 3218722 3616024 4209098 5090072 5876039 5967884 6437444 7684051 8418196 11752078 11935768 12874888 15368102 16836392 19436129 23504156 27359137 30736204 38872258 47008312 54718274 61472408 77744516 99892663 109436548 155489032 199785326 218873096 252669677 330414193 399570652 505339354 660828386 799141304 1010678708 1321656772 2021357416 2643313544 4295384509 8590769018 17181538036 34363076072