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3349536460 = 2252346315727
BaseRepresentation
bin1100011110100101…
…1101111011001100
322122102202002012221
43013221131323030
523324440131320
61312212105124
7146001406264
oct30751357314
98572662187
103349536460
1114697a9356
127959051a4
13414c3774a
1423abd27a4
151490da3aa
hexc7a5decc

3349536460 has 48 divisors (see below), whose sum is σ = 7356174336. Its totient is φ = 1278712512.

The previous prime is 3349536457. The next prime is 3349536461. The reversal of 3349536460 is 646359433.

It is a super-2 number, since 2×33495364602 = 22438788993738663200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3349536461) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 205117 + ... + 220843.

It is an arithmetic number, because the mean of its divisors is an integer number (153253632).

Almost surely, 23349536460 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 3349536460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678087168).

3349536460 is an abundant number, since it is smaller than the sum of its proper divisors (4006637876).

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

3349536460 is a wasteful number, since it uses less digits than its factorization.

3349536460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16222 (or 16220 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 43.

The square root of 3349536460 is about 57875.1799997201. The cubic root of 3349536460 is about 1496.2180965214.

The spelling of 3349536460 in words is "three billion, three hundred forty-nine million, five hundred thirty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 463 926 1852 2315 4630 9260 10649 15727 21298 31454 42596 53245 62908 78635 106490 157270 212980 314540 361721 723442 1446884 1808605 3617210 7234420 7281601 14563202 29126404 36408005 72816010 145632020 167476823 334953646 669907292 837384115 1674768230 3349536460