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3305324340 = 223356120971
BaseRepresentation
bin1100010100000011…
…0011111100110100
322112100112212121000
43011000303330310
523232130334330
61303552323300
7144623536053
oct30500637464
98470485530
103305324340
11144685110a
12782b43530
13408a27926
14234da439a
151452a5560
hexc5033f34

3305324340 has 48 divisors (see below), whose sum is σ = 10283232960. Its totient is φ = 881419680.

The previous prime is 3305324339. The next prime is 3305324353. The reversal of 3305324340 is 434235033.

It is a happy number.

3305324340 is a `hidden beast` number, since 3 + 305 + 324 + 34 + 0 = 666.

It is a super-3 number, since 3×33053243403 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3059946 + ... + 3061025.

It is an arithmetic number, because the mean of its divisors is an integer number (214234020).

Almost surely, 23305324340 is an apocalyptic number.

3305324340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3305324340 is an abundant number, since it is smaller than the sum of its proper divisors (6977908620).

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

3305324340 is a wasteful number, since it uses less digits than its factorization.

3305324340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6120989 (or 6120981 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

The square root of 3305324340 is about 57491.9502191394. The cubic root of 3305324340 is about 1489.6058203870.

Adding to 3305324340 its reverse (434235033), we get a palindrome (3739559373).

It can be divided in two parts, 3305 and 324340, that added together give a triangular number (327645 = T809).

The spelling of 3305324340 in words is "three billion, three hundred five million, three hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 6120971 12241942 18362913 24483884 30604855 36725826 55088739 61209710 73451652 91814565 110177478 122419420 165266217 183629130 220354956 275443695 330532434 367258260 550887390 661064868 826331085 1101774780 1652662170 3305324340