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34093248 = 263725367
BaseRepresentation
bin1000001000001…
…1100011000000
32101011010010220
42002003203000
532211440443
63214423040
7562534140
oct202034300
971133126
1034093248
1118276842
12b501a80
1370a9127
144756920
152ed6a83
hex20838c0

34093248 has 56 divisors (see below), whose sum is σ = 103095552. Its totient is φ = 9740544.

The previous prime is 34093247. The next prime is 34093289. The reversal of 34093248 is 84239043.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (34093247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11340 + ... + 14027.

It is an arithmetic number, because the mean of its divisors is an integer number (1840992).

Almost surely, 234093248 is an apocalyptic number.

It is an amenable number.

34093248 is an abundant number, since it is smaller than the sum of its proper divisors (69002304).

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

34093248 is a wasteful number, since it uses less digits than its factorization.

34093248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25389 (or 25379 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 34093248 is about 5838.9423699845. The cubic root of 34093248 is about 324.2570738280.

The spelling of 34093248 in words is "thirty-four million, ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 25367 50734 76101 101468 152202 177569 202936 304404 355138 405872 532707 608808 710276 811744 1065414 1217616 1420552 1623488 2130828 2435232 2841104 4261656 4870464 5682208 8523312 11364416 17046624 34093248