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3378268341 = 3271372571523
BaseRepresentation
bin1100100101011100…
…0100100010110101
322201102210210221200
43021113010202311
523404314041331
61315120003113
7146500543560
oct31127044265
98642723850
103378268341
111483a43008
127a3460499
1341ab87466
142409514d7
1514b8b35e6
hexc95c48b5

3378268341 has 48 divisors (see below), whose sum is σ = 5643091584. Its totient is φ = 1907638272.

The previous prime is 3378268273. The next prime is 3378268403. The reversal of 3378268341 is 1438628733.

It is not a de Polignac number, because 3378268341 - 219 = 3377744053 is a prime.

It is a super-2 number, since 2×33782683412 = 22825393967605784562, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3378218341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2217406 + ... + 2218928.

It is an arithmetic number, because the mean of its divisors is an integer number (117564408).

Almost surely, 23378268341 is an apocalyptic number.

It is an amenable number.

3378268341 is a deficient number, since it is larger than the sum of its proper divisors (2264823243).

3378268341 is a wasteful number, since it uses less digits than its factorization.

3378268341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1927 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 3378268341 is about 58122.8727868814. The cubic root of 3378268341 is about 1500.4840424518.

The spelling of 3378268341 in words is "three billion, three hundred seventy-eight million, two hundred sixty-eight thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 63 137 257 411 771 959 1233 1523 1799 2313 2877 4569 5397 8631 10661 13707 16191 31983 35209 95949 105627 208651 246463 316881 391411 625953 739389 1174233 1460557 1877859 2218167 2739877 3522699 4381671 8219631 13145013 24658893 53623307 160869921 375363149 482609763 1126089447 3378268341