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4342942164 = 22311215719051
BaseRepresentation
bin1000000101101110…
…00000100111010100
3102012200000022122210
410002313000213110
532343243122124
61554540153420
7212423253651
oct40267004724
912180008583
104342942164
111929528800
12a12538870
135429a6282
142d2b04c28
151a6417a29
hex102dc09d4

4342942164 has 72 divisors (see below), whose sum is σ = 11210044384. Its totient is φ = 1307592000.

The previous prime is 4342942141. The next prime is 4342942169. The reversal of 4342942164 is 4612492434.

It is a super-2 number, since 2×43429421642 = 37722293279698005792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4342942169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218439 + ... + 237489.

Almost surely, 24342942164 is an apocalyptic number.

4342942164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4342942164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605022192).

4342942164 is an abundant number, since it is smaller than the sum of its proper divisors (6867102220).

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

4342942164 is a wasteful number, since it uses less digits than its factorization.

4342942164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19237 (or 19224 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 4342942164 is about 65901.0027541311. The cubic root of 4342942164 is about 1631.5285652310.

The spelling of 4342942164 in words is "four billion, three hundred forty-two million, nine hundred forty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 157 242 314 363 471 484 628 726 942 1452 1727 1884 3454 5181 6908 10362 18997 19051 20724 37994 38102 56991 57153 75988 76204 113982 114306 209561 227964 228612 419122 628683 838244 1257366 2305171 2514732 2991007 4610342 5982014 6915513 8973021 9220684 11964028 13831026 17946042 27662052 32901077 35892084 65802154 98703231 131604308 197406462 361911847 394812924 723823694 1085735541 1447647388 2171471082 4342942164