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3377374344 = 2332411637019
BaseRepresentation
bin1100100101001110…
…1010010010001000
322201101010101121200
43021103222102020
523404101434334
61315044504200
7146460131301
oct31123522210
98641111550
103377374344
111483492373
127a30ab060
1341a933576
1424079b7a8
1514b788799
hexc94ea488

3377374344 has 96 divisors (see below), whose sum is σ = 9428983200. Its totient is φ = 1091439360.

The previous prime is 3377374339. The next prime is 3377374367. The reversal of 3377374344 is 4434737733.

It is a super-2 number, since 2×33773743442 = 22813314919018860672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3377374344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 477667 + ... + 484685.

It is an arithmetic number, because the mean of its divisors is an integer number (98218575).

Almost surely, 23377374344 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 3377374344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4714491600).

3377374344 is an abundant number, since it is smaller than the sum of its proper divisors (6051608856).

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

3377374344 is a wasteful number, since it uses less digits than its factorization.

3377374344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7235 (or 7228 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 45.

The square root of 3377374344 is about 58115.1816997934. The cubic root of 3377374344 is about 1500.3516722113.

The spelling of 3377374344 in words is "three billion, three hundred seventy-seven million, three hundred seventy-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 163 164 246 326 328 369 489 492 652 738 978 984 1304 1467 1476 1956 2934 2952 3912 5868 6683 7019 11736 13366 14038 20049 21057 26732 28076 40098 42114 53464 56152 60147 63171 80196 84228 120294 126342 160392 168456 240588 252684 287779 481176 505368 575558 863337 1144097 1151116 1726674 2288194 2302232 2590011 3432291 3453348 4576388 5180022 6864582 6906696 9152776 10296873 10360044 13729164 20593746 20720088 27458328 41187492 46907977 82374984 93815954 140723931 187631908 281447862 375263816 422171793 562895724 844343586 1125791448 1688687172 3377374344