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3343224920 = 235722237649
BaseRepresentation
bin1100011101000101…
…1001000001011000
322121222212102102012
43013101121001120
523321331144140
61311424525052
7145563641300
oct30721310130
98558772365
103343224920
111466188402
12793780788
134138379c9
1423a02c600
15148790265
hexc7459058

3343224920 has 96 divisors (see below), whose sum is σ = 8790768000. Its totient is φ = 1140959232.

The previous prime is 3343224919. The next prime is 3343224979. The reversal of 3343224920 is 294223433.

It is a super-2 number, since 2×33432249202 = 22354305731418012800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 433256 + ... + 440904.

It is an arithmetic number, because the mean of its divisors is an integer number (91570500).

Almost surely, 23343224920 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 3343224920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395384000).

3343224920 is an abundant number, since it is smaller than the sum of its proper divisors (5447543080).

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

3343224920 is a wasteful number, since it uses less digits than its factorization.

3343224920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7897 (or 7886 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

The square root of 3343224920 is about 57820.6271152432. The cubic root of 3343224920 is about 1495.2777297843.

The spelling of 3343224920 in words is "three billion, three hundred forty-three million, two hundred twenty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 223 245 280 392 446 490 892 980 1115 1561 1784 1960 2230 3122 4460 6244 7649 7805 8920 10927 12488 15298 15610 21854 30596 31220 38245 43708 53543 54635 61192 62440 76490 87416 107086 109270 152980 214172 218540 267715 305960 374801 428344 437080 535430 749602 1070860 1499204 1705727 1874005 2141720 2998408 3411454 3748010 6822908 7496020 8528635 11940089 13645816 14992040 17057270 23880178 34114540 47760356 59700445 68229080 83580623 95520712 119400890 167161246 238801780 334322492 417903115 477603560 668644984 835806230 1671612460 3343224920