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3340022144 = 27731492399
BaseRepresentation
bin1100011100010100…
…1011000110000000
322121202211201000212
43013011023012000
523320021202034
61311232133252
7145524501614
oct30705130600
98552751025
103340022144
1114643a0088
12792697228
13412c85c84
14239837344
1514835b2ce
hexc714b180

3340022144 has 64 divisors (see below), whose sum is σ = 6793200000. Its totient is φ = 1635397632.

The previous prime is 3340022137. The next prime is 3340022177. The reversal of 3340022144 is 4412200433.

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

It is a super-2 number, since 2×33400221442 = 22311495844820713472, which contains 22 as substring.

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, 1391057 + ... + 1393455.

It is an arithmetic number, because the mean of its divisors is an integer number (106143750).

Almost surely, 23340022144 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 3340022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396600000).

3340022144 is an abundant number, since it is smaller than the sum of its proper divisors (3453177856).

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

3340022144 is a wasteful number, since it uses less digits than its factorization.

3340022144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2623 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 3340022144 is about 57792.9246880619. The cubic root of 3340022144 is about 1494.8000901958.

Adding to 3340022144 its reverse (4412200433), we get a palindrome (7752222577).

The spelling of 3340022144 in words is "three billion, three hundred forty million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 73 128 146 149 292 298 584 596 1168 1192 2336 2384 2399 4672 4768 4798 9344 9536 9596 10877 19072 19192 21754 38384 43508 76768 87016 153536 174032 175127 307072 348064 350254 357451 696128 700508 714902 1392256 1401016 1429804 2802032 2859608 5604064 5719216 11208128 11438432 22416256 22876864 26093923 45753728 52187846 104375692 208751384 417502768 835005536 1670011072 3340022144