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34682076 = 223211136737
BaseRepresentation
bin1000010001001…
…1010011011100
32102021000212100
42010103103130
532334311301
63235205100
7600535632
oct204232334
972230770
1034682076
1118639180
12b746790
137254150
14486b352
1530a1286
hex21134dc

34682076 has 72 divisors (see below), whose sum is σ = 103010544. Its totient is φ = 9699840.

The previous prime is 34682051. The next prime is 34682077. The reversal of 34682076 is 67028643.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34682076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34682077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1780 + ... + 8516.

It is an arithmetic number, because the mean of its divisors is an integer number (1430702).

Almost surely, 234682076 is an apocalyptic number.

34682076 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 34682076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51505272).

34682076 is an abundant number, since it is smaller than the sum of its proper divisors (68328468).

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

34682076 is a wasteful number, since it uses less digits than its factorization.

34682076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6771 (or 6766 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 34682076 is about 5889.1490047374. The cubic root of 34682076 is about 326.1131878910.

The spelling of 34682076 in words is "thirty-four million, six hundred eighty-two thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2574 5148 6737 13474 20211 26948 40422 60633 74107 80844 87581 121266 148214 175162 222321 242532 262743 296428 350324 444642 525486 666963 788229 889284 963391 1050972 1333926 1576458 1926782 2667852 2890173 3152916 3853564 5780346 8670519 11560692 17341038 34682076