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34322328128 = 2611238772417
BaseRepresentation
bin11111111101110001…
…010010101001000000
310021120222111220220002
4133331301102221000
51030243004000003
623433434335132
72323352655404
oct377561225100
9107528456802
1034322328128
1113613072140
12679a58a4a8
13330ca015ca
141938505104
15d5d31da88
hex7fdc52a40

34322328128 has 112 divisors (see below), whose sum is σ = 77650994304. Its totient is φ = 14899568640.

The previous prime is 34322328113. The next prime is 34322328133. The reversal of 34322328128 is 82182322343.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34322328091 and 34322328100.

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, 14199176 + ... + 14201592.

Almost surely, 234322328128 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 34322328128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38825497152).

34322328128 is an abundant number, since it is smaller than the sum of its proper divisors (43328666176).

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

34322328128 is a wasteful number, since it uses less digits than its factorization.

34322328128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3340 (or 3330 counting only the distinct ones).

The product of its digits is 110592, while the sum is 38.

The spelling of 34322328128 in words is "thirty-four billion, three hundred twenty-two million, three hundred twenty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 176 184 253 352 368 506 704 736 877 1012 1472 1754 2024 2417 3508 4048 4834 7016 8096 9647 9668 14032 16192 19294 19336 20171 26587 28064 38588 38672 40342 53174 55591 56128 77176 77344 80684 106348 111182 154352 154688 161368 212696 221881 222364 308704 322736 425392 443762 444728 611501 617408 645472 850784 887524 889456 1223002 1290944 1701568 1775048 1778912 2119709 2446004 3550096 3557824 4239418 4892008 7100192 8478836 9784016 14200384 16957672 19568032 23316799 33915344 39136064 46633598 48753307 67830688 93267196 97506614 135661376 186534392 195013228 373068784 390026456 536286377 746137568 780052912 1072572754 1492275136 1560105824 2145145508 3120211648 4290291016 8580582032 17161164064 34322328128