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34223300416 = 264719957173
BaseRepresentation
bin11111110111110111…
…100001111101000000
310021100002011210102001
4133313313201331000
51030042131103131
623415540033344
72321041153024
oct376767417500
9107302153361
1034223300416
1113572185158
126771392854
1332c533b526
1419292c8384
15d547ac261
hex7f7de1f40

34223300416 has 56 divisors (see below), whose sum is σ = 69706540800. Its totient is φ = 16663122432.

The previous prime is 34223300407. The next prime is 34223300473. The reversal of 34223300416 is 61400332243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 570006 + ... + 627178.

Almost surely, 234223300416 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 34223300416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34853270400).

34223300416 is an abundant number, since it is smaller than the sum of its proper divisors (35483240384).

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

34223300416 is a wasteful number, since it uses less digits than its factorization.

34223300416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57431 (or 57421 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 34223300416 its reverse (61400332243), we get a palindrome (95623632659).

The spelling of 34223300416 in words is "thirty-four billion, two hundred twenty-three million, three hundred thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 47 64 94 188 199 376 398 752 796 1504 1592 3008 3184 6368 9353 12736 18706 37412 57173 74824 114346 149648 228692 299296 457384 598592 914768 1829536 2687131 3659072 5374262 10748524 11377427 21497048 22754854 42994096 45509708 85988192 91019416 171976384 182038832 364077664 534739069 728155328 1069478138 2138956276 4277912552 8555825104 17111650208 34223300416