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3343152340 = 22511171735167
BaseRepresentation
bin1100011101000100…
…0111010011010100
322121222201201212001
43013101013103110
523321321333330
61311423205044
7145563216553
oct30721072324
98558651761
103343152340
111466138920
12793746784
13413810968
1423a00dd9a
151487789ca
hexc74474d4

3343152340 has 96 divisors (see below), whose sum is σ = 8157832704. Its totient is φ = 1137346560.

The previous prime is 3343152299. The next prime is 3343152343. The reversal of 3343152340 is 432513433.

It is a super-2 number, since 2×33431523402 = 22353335136894951200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3343152299 and 3343152308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3343152343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 644437 + ... + 649603.

It is an arithmetic number, because the mean of its divisors is an integer number (84977424).

Almost surely, 23343152340 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 3343152340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078916352).

3343152340 is an abundant number, since it is smaller than the sum of its proper divisors (4814680364).

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

3343152340 is a wasteful number, since it uses less digits than its factorization.

3343152340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5377 (or 5375 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The square root of 3343152340 is about 57819.9994811484. Note that the first 3 decimals coincide. The cubic root of 3343152340 is about 1495.2669090901.

Adding to 3343152340 its reverse (432513433), we get a palindrome (3775665773).

The spelling of 3343152340 in words is "three billion, three hundred forty-three million, one hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 173 187 220 340 346 374 692 748 865 935 1730 1870 1903 2941 3460 3740 3806 5167 5882 7612 9515 10334 11764 14705 19030 20668 25835 29410 32351 38060 51670 56837 58820 64702 87839 103340 113674 129404 161755 175678 227348 284185 323510 351356 439195 568370 647020 878390 893891 966229 1136740 1756780 1787782 1932458 3575564 3864916 4469455 4831145 8938910 9662290 9832801 15196147 17877820 19324580 19665602 30392294 39331204 49164005 60784588 75980735 98328010 151961470 167157617 196656020 303922940 334315234 668630468 835788085 1671576170 3343152340