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3020022320 = 24576780491
BaseRepresentation
bin1011010000000001…
…1110001000110000
321210110201000210112
42310000132020300
522141111203240
61215401320452
7134560523540
oct26400361060
97713630715
103020022320
11130a7a6517
12703496128
133918a4b73
14209139320
1512a1eb665
hexb401e230

3020022320 has 80 divisors (see below), whose sum is σ = 8144502528. Its totient is φ = 1019969280.

The previous prime is 3020022283. The next prime is 3020022353. The reversal of 3020022320 is 232200203.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 3020022295 and 3020022304.

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 15 ways as a sum of consecutive naturals, for example, 2726 + ... + 77765.

Almost surely, 23020022320 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 3020022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072251264).

3020022320 is an abundant number, since it is smaller than the sum of its proper divisors (5124480208).

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

3020022320 is a wasteful number, since it uses less digits than its factorization.

3020022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80578 (or 80572 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 3020022320 is about 54954.7297327537. The cubic root of 3020022320 is about 1445.4510343555.

Adding to 3020022320 its reverse (232200203), we get a palindrome (3252222523).

The spelling of 3020022320 in words is "three billion, twenty million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 67 70 80 112 134 140 268 280 335 469 536 560 670 938 1072 1340 1876 2345 2680 3752 4690 5360 7504 9380 18760 37520 80491 160982 321964 402455 563437 643928 804910 1126874 1287856 1609820 2253748 2817185 3219640 4507496 5392897 5634370 6439280 9014992 10785794 11268740 21571588 22537480 26964485 37750279 43143176 45074960 53928970 75500558 86286352 107857940 151001116 188751395 215715880 302002232 377502790 431431760 604004464 755005580 1510011160 3020022320