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3301420782 = 2311238326203
BaseRepresentation
bin1100010011000111…
…1010111011101110
322112002012112220210
43010301322323232
523230130431112
61303332523250
7144545420322
oct30461727356
98462175823
103301420782
111444625330
12781780526
13407c8bc2a
14234669982
15144c83b3c
hexc4c7aeee

3301420782 has 64 divisors (see below), whose sum is σ = 7607126016. Its totient is φ = 945368160.

The previous prime is 3301420763. The next prime is 3301420841. The reversal of 3301420782 is 2870241033.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112893 + ... + 139095.

It is an arithmetic number, because the mean of its divisors is an integer number (118861344).

Almost surely, 23301420782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3301420782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803563008).

3301420782 is an abundant number, since it is smaller than the sum of its proper divisors (4305705234).

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

3301420782 is a wasteful number, since it uses less digits than its factorization.

3301420782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26325.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3301420782 is about 57457.9914546271. The cubic root of 3301420782 is about 1489.0191857452.

The spelling of 3301420782 in words is "three billion, three hundred one million, four hundred twenty thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 83 138 166 249 253 498 506 759 913 1518 1826 1909 2739 3818 5478 5727 11454 20999 26203 41998 52406 62997 78609 125994 157218 288233 576466 602669 864699 1205338 1729398 1808007 2174849 3616014 4349698 6524547 6629359 13049094 13258718 19888077 23923339 39776154 47846678 50021527 71770017 100043054 143540034 150064581 300129162 550236797 1100473594 1650710391 3301420782