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3304531120 = 2451141671367
BaseRepresentation
bin1100010011110111…
…0010010010110000
322112022001120111111
43010331302102300
523231424443440
61303523323104
7144614023342
oct30475622260
98468046444
103304531120
11144635a160
12782820494
1340880a877
14234c39292
1514519a4ea
hexc4f724b0

3304531120 has 160 divisors (see below), whose sum is σ = 8720441856. Its totient is φ = 1153996800.

The previous prime is 3304531081. The next prime is 3304531151. The reversal of 3304531120 is 211354033.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3304531091 and 3304531100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2416677 + ... + 2418043.

Almost surely, 23304531120 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 3304531120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4360220928).

3304531120 is an abundant number, since it is smaller than the sum of its proper divisors (5415910736).

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

3304531120 is a wasteful number, since it uses less digits than its factorization.

3304531120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 3304531120 is about 57485.0512742226. The cubic root of 3304531120 is about 1489.4866510771.

Adding to 3304531120 its reverse (211354033), we get a palindrome (3515885153).

The spelling of 3304531120 in words is "three billion, three hundred four million, five hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 67 80 82 88 110 134 164 176 205 220 268 328 335 410 440 451 536 656 670 737 820 880 902 1072 1340 1367 1474 1640 1804 2255 2680 2734 2747 2948 3280 3608 3685 4510 5360 5468 5494 5896 6835 7216 7370 9020 10936 10988 11792 13670 13735 14740 15037 18040 21872 21976 27340 27470 29480 30074 30217 36080 43952 54680 54940 56047 58960 60148 60434 75185 91589 109360 109880 112094 120296 120868 150370 151085 183178 219760 224188 240592 241736 280235 300740 302170 366356 448376 457945 483472 560470 601480 604340 616517 732712 896752 915890 1007479 1120940 1202960 1208680 1233034 1465424 1831780 2014958 2241880 2417360 2466068 3082585 3663560 3755149 4029916 4483760 4932136 5037395 6165170 7327120 7510298 8059832 9864272 10074790 12330340 15020596 16119664 18775745 20149580 24660680 30041192 37551490 40299160 41306639 49321360 60082384 75102980 80598320 82613278 150205960 165226556 206533195 300411920 330453112 413066390 660906224 826132780 1652265560 3304531120