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3335440164 = 2237314727253
BaseRepresentation
bin1100011011001110…
…1100011100100100
322121110012220201220
43012303230130210
523312333041124
61310550020340
7145440526230
oct30663543444
98543186656
103335440164
111461850621
127910476b0
13412040544
14238da35c0
15147c53879
hexc6cec724

3335440164 has 96 divisors (see below), whose sum is σ = 9377120256. Its totient is φ = 902586240.

The previous prime is 3335440123. The next prime is 3335440183. The reversal of 3335440164 is 4610445333.

3335440164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33354401642 = 22250322175248693792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108762 + ... + 136014.

It is an arithmetic number, because the mean of its divisors is an integer number (97678336).

Almost surely, 23335440164 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 3335440164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688560128).

3335440164 is an abundant number, since it is smaller than the sum of its proper divisors (6041680092).

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

3335440164 is a wasteful number, since it uses less digits than its factorization.

3335440164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27345 (or 27343 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 3335440164 is about 57753.2697256181. The cubic root of 3335440164 is about 1494.1162346014.

Adding to 3335440164 its reverse (4610445333), we get a palindrome (7945885497).

The spelling of 3335440164 in words is "three billion, three hundred thirty-five million, four hundred forty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 47 62 84 93 94 124 141 186 188 217 282 329 372 434 564 651 658 868 987 1302 1316 1457 1974 2604 2914 3948 4371 5828 8742 10199 17484 20398 27253 30597 40796 54506 61194 81759 109012 122388 163518 190771 327036 381542 572313 763084 844843 1144626 1280891 1689686 2289252 2534529 2561782 3379372 3842673 5069058 5123564 5913901 7685346 8966237 10138116 11827802 15370692 17741703 17932474 23655604 26898711 35483406 35864948 39707621 53797422 70966812 79415242 107594844 119122863 158830484 238245726 277953347 476491452 555906694 833860041 1111813388 1667720082 3335440164