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3342666642 = 237732115167
BaseRepresentation
bin1100011100111101…
…0000101110010010
322121221211001121020
43013033100232102
523321210313032
61311404540310
7145556124540
oct30717205622
98557731536
103342666642
111465936a17
12793551696
134136a0873
14239d24d90
151486ceb2c
hexc73d0b92

3342666642 has 64 divisors (see below), whose sum is σ = 7783256064. Its totient is φ = 937319040.

The previous prime is 3342666641. The next prime is 3342666661. The reversal of 3342666642 is 2466662433.

3342666642 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 2×33426666422 = 22346840559079112328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3342666594 and 3342666603.

It is not an unprimeable number, because it can be changed into a prime (3342666641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 644343 + ... + 649509.

It is an arithmetic number, because the mean of its divisors is an integer number (121613376).

Almost surely, 23342666642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3342666642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891628032).

3342666642 is an abundant number, since it is smaller than the sum of its proper divisors (4440589422).

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

3342666642 is a wasteful number, since it uses less digits than its factorization.

3342666642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5463.

The product of its digits is 746496, while the sum is 42.

The square root of 3342666642 is about 57815.7992420757. The cubic root of 3342666642 is about 1495.1944940712.

The spelling of 3342666642 in words is "three billion, three hundred forty-two million, six hundred sixty-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 73 146 211 219 422 438 511 633 1022 1266 1477 1533 2954 3066 4431 5167 8862 10334 15403 15501 30806 31002 36169 46209 72338 92418 107821 108507 215642 217014 323463 377191 646926 754382 1090237 1131573 2180474 2263146 2640337 3270711 5280674 6541422 7631659 7921011 15263318 15842022 22894977 45789954 79587301 159174602 238761903 477523806 557111107 1114222214 1671333321 3342666642