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3376772676 = 22325312891373
BaseRepresentation
bin1100100101000101…
…0111011001000100
322201022222211021200
43021101113121010
523403423211201
61315023542500
7146452044204
oct31121273104
98638884250
103376772676
111483111322
127a2a5aa30
1341a782754
14240682404
1514b6ba386
hexc9457644

3376772676 has 72 divisors (see below), whose sum is σ = 8709868440. Its totient is φ = 1102692864.

The previous prime is 3376772657. The next prime is 3376772719. The reversal of 3376772676 is 6762776733.

It is a happy number.

3376772676 is a `hidden beast` number, since 3 + 376 + 7 + 7 + 267 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2433054276 + 943718400 = 49326^2 + 30720^2 .

It is a super-2 number, since 2×33767726762 = 22805187410760401952, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2458726 + ... + 2460098.

It is an arithmetic number, because the mean of its divisors is an integer number (120970395).

Almost surely, 23376772676 is an apocalyptic number.

3376772676 is a gapful number since it is divisible by the number (36) 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 3376772676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354934220).

3376772676 is an abundant number, since it is smaller than the sum of its proper divisors (5333095764).

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

3376772676 is a wasteful number, since it uses less digits than its factorization.

3376772676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2720 counting only the distinct ones).

The product of its digits is 9335088, while the sum is 54.

The square root of 3376772676 is about 58110.0049561175. The cubic root of 3376772676 is about 1500.2625727010.

The spelling of 3376772676 in words is "three billion, three hundred seventy-six million, seven hundred seventy-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1289 1373 1908 2578 2746 3867 4119 5156 5492 7734 8238 11601 12357 15468 16476 23202 24714 46404 49428 68317 72769 136634 145538 204951 218307 273268 291076 409902 436614 614853 654921 819804 873228 1229706 1309842 1769797 2459412 2619684 3539594 5309391 7079188 10618782 15928173 21237564 31856346 63712692 93799241 187598482 281397723 375196964 562795446 844193169 1125590892 1688386338 3376772676