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34148608 = 281331331
BaseRepresentation
bin1000001001000…
…1000100000000
32101020221002021
42002101010000
532220223413
63215531224
7563154424
oct202210400
971227067
1034148608
111830439a
12b529b14
1370c83a0
14476cb84
152ee818d
hex2091100

34148608 has 72 divisors (see below), whose sum is σ = 76004096. Its totient is φ = 15206400.

The previous prime is 34148581. The next prime is 34148623. The reversal of 34148608 is 80684143.

It is a super-2 number, since 2×341486082 = 2332254856675328, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103003 + ... + 103333.

Almost surely, 234148608 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 34148608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38002048).

34148608 is an abundant number, since it is smaller than the sum of its proper divisors (41855488).

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

34148608 is a wasteful number, since it uses less digits than its factorization.

34148608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 34148608 is about 5843.6810316786. The cubic root of 34148608 is about 324.4324865105.

The spelling of 34148608 in words is "thirty-four million, one hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 331 403 416 496 662 806 832 992 1324 1612 1664 1984 2648 3224 3328 3968 4303 5296 6448 7936 8606 10261 10592 12896 17212 20522 21184 25792 34424 41044 42368 51584 68848 82088 84736 103168 133393 137696 164176 266786 275392 328352 533572 550784 656704 1067144 1101568 1313408 2134288 2626816 4268576 8537152 17074304 34148608