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3404330320 = 245194747653
BaseRepresentation
bin1100101011101001…
…1111010101010000
322210020211220021011
43022322133111100
523433002032240
61321450340304
7150235221166
oct31272372520
98706756234
103404330320
111497723836
127b012a694
134233b0b51
142441b7236
1514dd106ea
hexcae9f550

3404330320 has 80 divisors (see below), whose sum is σ = 8509098240. Its totient is φ = 1262587392.

The previous prime is 3404330309. The next prime is 3404330323. The reversal of 3404330320 is 230334043.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3404330291 and 3404330300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404330323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 47614 + ... + 95266.

It is an arithmetic number, because the mean of its divisors is an integer number (106363728).

Almost surely, 23404330320 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 3404330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254549120).

3404330320 is an abundant number, since it is smaller than the sum of its proper divisors (5104767920).

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

3404330320 is a wasteful number, since it uses less digits than its factorization.

3404330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47732 (or 47726 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

The square root of 3404330320 is about 58346.6393205299. The cubic root of 3404330320 is about 1504.3327056508.

Adding to 3404330320 its reverse (230334043), we get a palindrome (3634664363).

The spelling of 3404330320 in words is "three billion, four hundred four million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 47 76 80 94 95 152 188 190 235 304 376 380 470 752 760 893 940 1520 1786 1880 3572 3760 4465 7144 8930 14288 17860 35720 47653 71440 95306 190612 238265 381224 476530 762448 905407 953060 1810814 1906120 2239691 3621628 3812240 4479382 4527035 7243256 8958764 9054070 11198455 14486512 17917528 18108140 22396910 35835056 36216280 42554129 44793820 72432560 85108258 89587640 170216516 179175280 212770645 340433032 425541290 680866064 851082580 1702165160 3404330320