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4342979344 = 24111031072239
BaseRepresentation
bin1000000101101110…
…01001101100010000
3102012200002012122211
410002313021230100
532343300314334
61554541041504
7212423500234
oct40267115420
912180065584
104342979344
111929553730
12a12556294
135429ba182
142d2b145c4
151a6423a64
hex102dc9b10

4342979344 has 80 divisors (see below), whose sum is σ = 9359400960. Its totient is φ = 1935780480.

The previous prime is 4342979339. The next prime is 4342979357. The reversal of 4342979344 is 4439792434.

It is a super-2 number, since 2×43429793442 = 37722939164821340672, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1938577 + ... + 1940815.

It is an arithmetic number, because the mean of its divisors is an integer number (116992512).

Almost surely, 24342979344 is an apocalyptic number.

4342979344 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 4342979344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4679700480).

4342979344 is an abundant number, since it is smaller than the sum of its proper divisors (5016421616).

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

4342979344 is a wasteful number, since it uses less digits than its factorization.

4342979344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2462 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 49.

The square root of 4342979344 is about 65901.2848433170. The cubic root of 4342979344 is about 1631.5332210654.

The spelling of 4342979344 in words is "four billion, three hundred forty-two million, nine hundred seventy-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 103 107 176 206 214 412 428 824 856 1133 1177 1648 1712 2239 2266 2354 4478 4532 4708 8956 9064 9416 11021 17912 18128 18832 22042 24629 35824 44084 49258 88168 98516 121231 176336 197032 230617 239573 242462 394064 461234 479146 484924 922468 958292 969848 1844936 1916584 1939696 2536787 2635303 3689872 3833168 5073574 5270606 10147148 10541212 20294296 21082424 24676019 40588592 42164848 49352038 98704076 197408152 271436209 394816304 542872418 1085744836 2171489672 4342979344