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4343339616 = 253721183939
BaseRepresentation
bin1000000101110001…
…00001101001100000
3102012200202111212020
410002320201221200
532343343331431
61554552501440
7212426530500
oct40270415140
912180674766
104343339616
11192977a380
12a126aa880
13542ab5155
142d2ba9a00
151a6495696
hex102e21a60

4343339616 has 144 divisors (see below), whose sum is σ = 14468569920. Its totient is φ = 1128126720.

The previous prime is 4343339563. The next prime is 4343339653. The reversal of 4343339616 is 6169333434.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9775 + ... + 93713.

It is an arithmetic number, because the mean of its divisors is an integer number (100476180).

Almost surely, 24343339616 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 4343339616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7234284960).

4343339616 is an abundant number, since it is smaller than the sum of its proper divisors (10125230304).

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

4343339616 is a wasteful number, since it uses less digits than its factorization.

4343339616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83977 (or 83962 counting only the distinct ones).

The product of its digits is 419904, while the sum is 42.

The square root of 4343339616 is about 65904.0182083005. The cubic root of 4343339616 is about 1631.5783344493.

The spelling of 4343339616 in words is "four billion, three hundred forty-three million, three hundred thirty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 66 77 84 88 96 98 112 132 147 154 168 176 196 224 231 264 294 308 336 352 392 462 528 539 588 616 672 784 924 1056 1078 1176 1232 1568 1617 1848 2156 2352 2464 3234 3696 4312 4704 6468 7392 8624 12936 17248 25872 51744 83939 167878 251817 335756 503634 587573 671512 923329 1007268 1175146 1343024 1762719 1846658 2014536 2350292 2686048 2769987 3525438 3693316 4029072 4113011 4700584 5539974 6463303 7050876 7386632 8058144 8226022 9401168 11079948 12339033 12926606 14101752 14773264 16452044 18802336 19389909 22159896 24678066 25853212 28203504 29546528 32904088 38779818 44319792 45243121 49356132 51706424 56407008 65808176 77559636 88639584 90486242 98712264 103412848 131616352 135729363 155119272 180972484 197424528 206825696 271458726 310238544 361944968 394849056 542917452 620477088 723889936 1085834904 1447779872 2171669808 4343339616