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34223322320 = 2451138890139
BaseRepresentation
bin11111110111110111…
…100111010011010000
310021100002012220110022
4133313313213103100
51030042132303240
623415540323012
72321041303625
oct376767472320
9107302186408
1034223322320
111357219a660
1267713a3468
1332c53484a5
1419292d234c
15d547b39b5
hex7f7de74d0

34223322320 has 40 divisors (see below), whose sum is σ = 86802792480. Its totient is φ = 12444844160.

The previous prime is 34223322241. The next prime is 34223322361. The reversal of 34223322320 is 2322332243.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×342233223202 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34223322320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19444190 + ... + 19445949.

It is an arithmetic number, because the mean of its divisors is an integer number (2170069812).

Almost surely, 234223322320 is an apocalyptic number.

It is an amenable number.

34223322320 is an abundant number, since it is smaller than the sum of its proper divisors (52579470160).

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

34223322320 is a wasteful number, since it uses less digits than its factorization.

34223322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38890163 (or 38890157 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 26.

Adding to 34223322320 its reverse (2322332243), we get a palindrome (36545654563).

The spelling of 34223322320 in words is "thirty-four billion, two hundred twenty-three million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 38890139 77780278 155560556 194450695 311121112 388901390 427791529 622242224 777802780 855583058 1555605560 1711166116 2138957645 3111211120 3422332232 4277915290 6844664464 8555830580 17111661160 34223322320