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34078208 = 29101659
BaseRepresentation
bin1000000111111…
…1111000000000
32101010100111212
42001333320000
532211000313
63214225252
7562442243
oct201777000
971110455
1034078208
111826650a
12b4b5228
1370a2328
14475125a
152ed23a8
hex207fe00

34078208 has 40 divisors (see below), whose sum is σ = 68868360. Its totient is φ = 16844800.

The previous prime is 34078193. The next prime is 34078211. The reversal of 34078208 is 80287043.

It is a super-2 number, since 2×340782082 = 2322648520982528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 51383 + ... + 52041.

It is an arithmetic number, because the mean of its divisors is an integer number (1721709).

Almost surely, 234078208 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 34078208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34434180).

34078208 is an abundant number, since it is smaller than the sum of its proper divisors (34790152).

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

34078208 is an equidigital number, since it uses as much as digits as its factorization.

34078208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 34078208 is about 5837.6543234419. The cubic root of 34078208 is about 324.2093855614.

The spelling of 34078208 in words is "thirty-four million, seventy-eight thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 512 659 808 1318 1616 2636 3232 5272 6464 10544 12928 21088 25856 42176 51712 66559 84352 133118 168704 266236 337408 532472 1064944 2129888 4259776 8519552 17039104 34078208