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3301342920 = 233453073319
BaseRepresentation
bin1100010011000110…
…0111111011001000
322112002001121010000
43010301213323020
523230120433140
61303331123000
7144544644321
oct30461477310
98462047100
103301342920
111444581887
12781743460
13407c62665
14234649448
15144c6aa30
hexc4c67ec8

3301342920 has 160 divisors (see below), whose sum is σ = 11135678400. Its totient is φ = 877226112.

The previous prime is 3301342909. The next prime is 3301342939. The reversal of 3301342920 is 292431033.

It is a happy number.

3301342920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 993021 + ... + 996339.

It is an arithmetic number, because the mean of its divisors is an integer number (69597990).

Almost surely, 23301342920 is an apocalyptic number.

3301342920 is a gapful number since it is divisible by the number (30) 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 3301342920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567839200).

3301342920 is an abundant number, since it is smaller than the sum of its proper divisors (7834335480).

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

3301342920 is a wasteful number, since it uses less digits than its factorization.

3301342920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3301342920 is about 57457.3138947515. The cubic root of 3301342920 is about 1489.0074797827.

Adding to 3301342920 its reverse (292431033), we get a palindrome (3593773953).

The spelling of 3301342920 in words is "three billion, three hundred one million, three hundred forty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 307 324 360 405 540 614 648 810 921 1080 1228 1535 1620 1842 2456 2763 3070 3240 3319 3684 4605 5526 6140 6638 7368 8289 9210 9957 11052 12280 13276 13815 16578 16595 18420 19914 22104 24867 26552 27630 29871 33156 33190 36840 39828 41445 49734 49785 55260 59742 66312 66380 79656 82890 89613 99468 99570 110520 119484 124335 132760 149355 165780 179226 198936 199140 238968 248670 268839 298710 331560 358452 398280 448065 497340 537678 597420 716904 896130 994680 1018933 1075356 1194840 1344195 1792260 2037866 2150712 2688390 3056799 3584520 4075732 5094665 5376780 6113598 8151464 9170397 10189330 10753560 12227196 15283995 18340794 20378660 24454392 27511191 30567990 36681588 40757320 45851985 55022382 61135980 73363176 82533573 91703970 110044764 122271960 137555955 165067146 183407940 220089528 275111910 330134292 366815880 412667865 550223820 660268584 825335730 1100447640 1650671460 3301342920