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4342905648 = 2432415313879
BaseRepresentation
bin1000000101101101…
…10111101100110000
3102012122221110120100
410002312313230300
532343240440043
61554535312400
7212423042334
oct40266675460
912178843510
104342905648
111929503324
12a1251b700
13542992773
142d2ad57c4
151a640bcd3
hex102db7b30

4342905648 has 120 divisors (see below), whose sum is σ = 12686375520. Its totient is φ = 1385579520.

The previous prime is 4342905647. The next prime is 4342905649. The reversal of 4342905648 is 8465092434.

4342905648 is a `hidden beast` number, since 43 + 42 + 9 + 0 + 564 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4342905647) and next prime (4342905649).

It is not an unprimeable number, because it can be changed into a prime (4342905647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305973 + ... + 319851.

It is an arithmetic number, because the mean of its divisors is an integer number (105719796).

Almost surely, 24342905648 is an apocalyptic number.

4342905648 is a gapful number since it is divisible by the number (48) 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 4342905648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6343187760).

4342905648 is an abundant number, since it is smaller than the sum of its proper divisors (8343469872).

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

4342905648 is a wasteful number, since it uses less digits than its factorization.

4342905648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13987 (or 13978 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 4342905648 is about 65900.7257016188. The cubic root of 4342905648 is about 1631.5239925195.

The spelling of 4342905648 in words is "four billion, three hundred forty-two million, nine hundred five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 53 72 82 106 123 144 159 164 212 246 318 328 369 424 477 492 636 656 738 848 954 984 1272 1476 1908 1968 2173 2544 2952 3816 4346 5904 6519 7632 8692 13038 13879 17384 19557 26076 27758 34768 39114 41637 52152 55516 78228 83274 104304 111032 124911 156456 166548 222064 249822 312912 333096 499644 569039 666192 735587 999288 1138078 1471174 1707117 1998576 2206761 2276156 2942348 3414234 4413522 4552312 5121351 5884696 6620283 6828468 8827044 9104624 10242702 11769392 13240566 13656936 17654088 20485404 26481132 27313872 30159067 35308176 40970808 52962264 60318134 81941616 90477201 105924528 120636268 180954402 241272536 271431603 361908804 482545072 542863206 723817608 1085726412 1447635216 2171452824 4342905648