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34328808 = 23322941401
BaseRepresentation
bin1000001011110…
…1000011101000
32101121002021100
42002331003220
532242010213
63223441400
7564534663
oct202750350
971532240
1034328808
1118417818
12b5b6260
13715c407
1447b86da
153031773
hex20bd0e8

34328808 has 96 divisors (see below), whose sum is σ = 98771400. Its totient is φ = 10752000.

The previous prime is 34328783. The next prime is 34328809. The reversal of 34328808 is 80882343.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30935844 + 3392964 = 5562^2 + 1842^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34328809) 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, 85408 + ... + 85808.

Almost surely, 234328808 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 34328808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49385700).

34328808 is an abundant number, since it is smaller than the sum of its proper divisors (64442592).

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

34328808 is a wasteful number, since it uses less digits than its factorization.

34328808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 34328808 is about 5859.0791085289. The cubic root of 34328808 is about 325.0021554098.

The spelling of 34328808 in words is "thirty-four million, three hundred twenty-eight thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 41 58 72 82 87 116 123 164 174 232 246 261 328 348 369 401 492 522 696 738 802 984 1044 1189 1203 1476 1604 2088 2378 2406 2952 3208 3567 3609 4756 4812 7134 7218 9512 9624 10701 11629 14268 14436 16441 21402 23258 28536 28872 32882 34887 42804 46516 49323 65764 69774 85608 93032 98646 104661 131528 139548 147969 197292 209322 279096 295938 394584 418644 476789 591876 837288 953578 1183752 1430367 1907156 2860734 3814312 4291101 5721468 8582202 11442936 17164404 34328808