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3343703340 = 2235416720287
BaseRepresentation
bin1100011101001100…
…1101110100101100
322122000202201200110
43013103031310230
523321442001330
61311443100020
7145601003145
oct30723156454
98560681613
103343703340
11146648489a
12793971610
134139746b3
1423a114acc
15148836db0
hexc74cdd2c

3343703340 has 96 divisors (see below), whose sum is σ = 9734344704. Its totient is φ = 856880640.

The previous prime is 3343703339. The next prime is 3343703359. The reversal of 3343703340 is 433073433.

It is a super-2 number, since 2×33437033402 = 22360704051854311200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3343703298 and 3343703307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154677 + ... + 174963.

It is an arithmetic number, because the mean of its divisors is an integer number (101399424).

Almost surely, 23343703340 is an apocalyptic number.

3343703340 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 3343703340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4867172352).

3343703340 is an abundant number, since it is smaller than the sum of its proper divisors (6390641364).

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

3343703340 is a wasteful number, since it uses less digits than its factorization.

3343703340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20407 (or 20405 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 30.

The square root of 3343703340 is about 57824.7640721516. The cubic root of 3343703340 is about 1495.3490518030.

Adding to 3343703340 its reverse (433073433), we get a palindrome (3776776773).

The spelling of 3343703340 in words is "three billion, three hundred forty-three million, seven hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 67 82 123 134 164 201 205 246 268 335 402 410 492 615 670 804 820 1005 1230 1340 2010 2460 2747 4020 5494 8241 10988 13735 16482 20287 27470 32964 40574 41205 54940 60861 81148 82410 101435 121722 164820 202870 243444 304305 405740 608610 831767 1217220 1359229 1663534 2495301 2718458 3327068 4077687 4158835 4990602 5436916 6796145 8155374 8317670 9981204 12476505 13592290 16310748 16635340 20388435 24953010 27184580 40776870 49906020 55728389 81553740 111456778 167185167 222913556 278641945 334370334 557283890 668740668 835925835 1114567780 1671851670 3343703340