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3407796672 = 26374161843
BaseRepresentation
bin1100101100011110…
…1101100111000000
322210111101000012120
43023013231213000
523434343443142
61322052524240
7150306536160
oct31307554700
98714330176
103407796672
111499681095
127b1320680
13424025847
1424483a5a0
1514e2977ec
hexcb1ed9c0

3407796672 has 112 divisors (see below), whose sum is σ = 10556028672. Its totient is φ = 949893120.

The previous prime is 3407796649. The next prime is 3407796673. The reversal of 3407796672 is 2766977043.

It is a happy number.

3407796672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×34077966722 = 23226156315388551168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3407796673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24183 + ... + 86025.

It is an arithmetic number, because the mean of its divisors is an integer number (94250256).

Almost surely, 23407796672 is an apocalyptic number.

3407796672 is a gapful number since it is divisible by the number (32) 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 3407796672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5278014336).

3407796672 is an abundant number, since it is smaller than the sum of its proper divisors (7148232000).

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

3407796672 is a wasteful number, since it uses less digits than its factorization.

3407796672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61906 (or 61896 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 51.

The square root of 3407796672 is about 58376.3365757051. The cubic root of 3407796672 is about 1504.8431122354.

The spelling of 3407796672 in words is "three billion, four hundred seven million, seven hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 164 168 192 224 246 287 328 336 448 492 574 656 672 861 984 1148 1312 1344 1722 1968 2296 2624 3444 3936 4592 6888 7872 9184 13776 18368 27552 55104 61843 123686 185529 247372 371058 432901 494744 742116 865802 989488 1298703 1484232 1731604 1978976 2535563 2597406 2968464 3463208 3957952 5071126 5194812 5936928 6926416 7606689 10142252 10389624 11873856 13852832 15213378 17748941 20284504 20779248 27705664 30426756 35497882 40569008 41558496 53246823 60853512 70995764 81138016 83116992 106493646 121707024 141991528 162276032 212987292 243414048 283983056 425974584 486828096 567966112 851949168 1135932224 1703898336 3407796672