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4342866072 = 2332389109811
BaseRepresentation
bin1000000101101101…
…01110000010011000
3102012122212110021120
410002312232002120
532343233203242
61554534405240
7212422516056
oct40266560230
912178773246
104342866072
111929486616
12a12500820
1354297a74c
142d2ac51d6
151a64001ec
hex102dae098

4342866072 has 128 divisors (see below), whose sum is σ = 11575872000. Its totient is φ = 1354890240.

The previous prime is 4342866071. The next prime is 4342866079. The reversal of 4342866072 is 2706682434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4342866071) 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 31 ways as a sum of consecutive naturals, for example, 5354547 + ... + 5355357.

It is an arithmetic number, because the mean of its divisors is an integer number (90436500).

Almost surely, 24342866072 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 4342866072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5787936000).

4342866072 is an abundant number, since it is smaller than the sum of its proper divisors (7233005928).

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

4342866072 is a wasteful number, since it uses less digits than its factorization.

4342866072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 4342866072 is about 65900.4254311002. The cubic root of 4342866072 is about 1631.5190365910.

The spelling of 4342866072 in words is "four billion, three hundred forty-two million, eight hundred sixty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 89 92 109 138 178 184 218 267 276 327 356 436 534 552 654 712 811 872 1068 1308 1622 2047 2136 2433 2507 2616 3244 4094 4866 5014 6141 6488 7521 8188 9701 9732 10028 12282 15042 16376 18653 19402 19464 20056 24564 29103 30084 37306 38804 49128 55959 58206 60168 72179 74612 77608 88399 111918 116412 144358 149224 176798 216537 223123 223836 232824 265197 288716 353596 433074 446246 447672 530394 577432 669369 707192 866148 892492 1060788 1338738 1660117 1732296 1784984 2033177 2121576 2677476 3320234 4066354 4980351 5354952 6099531 6640468 7867511 8132708 9960702 12199062 13280936 15735022 16265416 19921404 23602533 24398124 31470044 39842808 47205066 48796248 62940088 94410132 180952753 188820264 361905506 542858259 723811012 1085716518 1447622024 2171433036 4342866072