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3422306688 = 27325135507
BaseRepresentation
bin1100101111111100…
…0100000110000000
322211111200012012120
43023333010012000
524002102303223
61323331524240
7150544061343
oct31377040600
98744605176
103422306688
1114a6891739
127b6159680
13427036158
1424673645a
151506b1be3
hexcbfc4180

3422306688 has 64 divisors (see below), whose sum is σ = 9126976320. Its totient is φ = 1136192000.

The previous prime is 3422306683. The next prime is 3422306711. The reversal of 3422306688 is 8866032243.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3422306683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78631 + ... + 114137.

It is an arithmetic number, because the mean of its divisors is an integer number (142609005).

Almost surely, 23422306688 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 3422306688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4563488160).

3422306688 is an abundant number, since it is smaller than the sum of its proper divisors (5704669632).

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

3422306688 is a wasteful number, since it uses less digits than its factorization.

3422306688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35775 (or 35763 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 3422306688 is about 58500.4845108141. The cubic root of 3422306688 is about 1506.9759057562.

The spelling of 3422306688 in words is "three billion, four hundred twenty-two million, three hundred six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 251 384 502 753 1004 1506 2008 3012 4016 6024 8032 12048 16064 24096 32128 35507 48192 71014 96384 106521 142028 213042 284056 426084 568112 852168 1136224 1704336 2272448 3408672 4544896 6817344 8912257 13634688 17824514 26736771 35649028 53473542 71298056 106947084 142596112 213894168 285192224 427788336 570384448 855576672 1140768896 1711153344 3422306688