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34216650304 = 262359339199
BaseRepresentation
bin11111110111011110…
…001010011001000000
310021022121122221011121
4133313132022121000
51030033430302204
623415141322024
72320630504654
oct376736123100
9107277587147
1034216650304
11135694528a1
12676b106314
1332c3b50655
141928476a64
15d53de6b54
hex7f778a640

34216650304 has 56 divisors (see below), whose sum is σ = 70972070400. Its totient is φ = 16336472064.

The previous prime is 34216650277. The next prime is 34216650311. The reversal of 34216650304 is 40305661243.

It is a self number, because there is not a number n which added to its sum of digits gives 34216650304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 853297 + ... + 892495.

It is an arithmetic number, because the mean of its divisors is an integer number (1267358400).

Almost surely, 234216650304 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 34216650304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35486035200).

34216650304 is an abundant number, since it is smaller than the sum of its proper divisors (36755420096).

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

34216650304 is a wasteful number, since it uses less digits than its factorization.

34216650304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39827 (or 39817 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 34216650304 in words is "thirty-four billion, two hundred sixteen million, six hundred fifty thousand, three hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 593 736 1186 1472 2372 4744 9488 13639 18976 27278 37952 39199 54556 78398 109112 156796 218224 313592 436448 627184 872896 901577 1254368 1803154 2508736 3606308 7212616 14425232 23245007 28850464 46490014 57700928 92980028 185960056 371920112 534635161 743840224 1069270322 1487680448 2138540644 4277081288 8554162576 17108325152 34216650304