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3407703348 = 2237296720879
BaseRepresentation
bin1100101100011101…
…0110110100110100
322210111012021012010
43023013112310310
523434333001343
61322050524220
7150306000120
oct31307266464
98714167163
103407703348
111499617a65
127b1296670
13423cc221a
14244814580
1514e279d33
hexcb1d6d34

3407703348 has 96 divisors (see below), whose sum is σ = 9541324800. Its totient is φ = 925981056.

The previous prime is 3407703331. The next prime is 3407703353. The reversal of 3407703348 is 8433077043.

It is a super-2 number, since 2×34077033482 = 23224884215940818208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 152773 + ... + 173651.

It is an arithmetic number, because the mean of its divisors is an integer number (99388800).

Almost surely, 23407703348 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 3407703348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4770662400).

3407703348 is an abundant number, since it is smaller than the sum of its proper divisors (6133621452).

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

3407703348 is a wasteful number, since it uses less digits than its factorization.

3407703348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20989 (or 20987 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The square root of 3407703348 is about 58375.5372394978. The cubic root of 3407703348 is about 1504.8293751814.

The spelling of 3407703348 in words is "three billion, four hundred seven million, seven hundred three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 67 84 87 116 134 174 201 203 268 348 402 406 469 609 804 812 938 1218 1407 1876 1943 2436 2814 3886 5628 5829 7772 11658 13601 20879 23316 27202 40803 41758 54404 62637 81606 83516 125274 146153 163212 250548 292306 438459 584612 605491 876918 1210982 1398893 1753836 1816473 2421964 2797786 3632946 4196679 4238437 5595572 7265892 8393358 8476874 9792251 12715311 16786716 16953748 19584502 25430622 29376753 39169004 40567897 50861244 58753506 81135794 117507012 121703691 162271588 243407382 283975279 486814764 567950558 851925837 1135901116 1703851674 3407703348