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34127676 = 223311231249
BaseRepresentation
bin1000001000101…
…1111100111100
32101012212101000
42002023330330
532214041201
63215250300
7563036412
oct202137474
971185330
1034127676
111829a6a0
12b519990
1370bb9bb
1447652b2
152ee1d86
hex208bf3c

34127676 has 96 divisors (see below), whose sum is σ = 100800000. Its totient is φ = 9884160.

The previous prime is 34127671. The next prime is 34127729. The reversal of 34127676 is 67672143.

34127676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 34127676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34127671) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 26700 + ... + 27948.

It is an arithmetic number, because the mean of its divisors is an integer number (1050000).

Almost surely, 234127676 is an apocalyptic number.

34127676 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 34127676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50400000).

34127676 is an abundant number, since it is smaller than the sum of its proper divisors (66672324).

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

34127676 is a wasteful number, since it uses less digits than its factorization.

34127676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1288 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 34127676 is about 5841.8897627395. The cubic root of 34127676 is about 324.3661840633.

The spelling of 34127676 in words is "thirty-four million, one hundred twenty-seven thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 92 99 108 132 138 198 207 253 276 297 396 414 506 594 621 759 828 1012 1188 1242 1249 1518 2277 2484 2498 3036 3747 4554 4996 6831 7494 9108 11241 13662 13739 14988 22482 27324 27478 28727 33723 41217 44964 54956 57454 67446 82434 86181 114908 123651 134892 164868 172362 247302 258543 315997 344724 370953 494604 517086 631994 741906 775629 947991 1034172 1263988 1483812 1551258 1895982 2843973 3102516 3791964 5687946 8531919 11375892 17063838 34127676