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34130496 = 263177763
BaseRepresentation
bin1000001000110…
…0101001000000
32101020000020110
42002030221000
532214133441
63215311320
7563050551
oct202145100
971200213
1034130496
11182a1824
12b51b540
1370c007a
144766328
152ee2b16
hex208ca40

34130496 has 28 divisors (see below), whose sum is σ = 90304112. Its totient is φ = 11376768.

The previous prime is 34130461. The next prime is 34130501. The reversal of 34130496 is 69403143.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 88690 + ... + 89073.

Almost surely, 234130496 is an apocalyptic number.

It is an amenable number.

34130496 is an abundant number, since it is smaller than the sum of its proper divisors (56173616).

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

34130496 is a wasteful number, since it uses less digits than its factorization.

34130496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177778 (or 177768 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 34130496 is about 5842.1311180082. The cubic root of 34130496 is about 324.3751180386.

The spelling of 34130496 in words is "thirty-four million, one hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 177763 355526 533289 711052 1066578 1422104 2133156 2844208 4266312 5688416 8532624 11376832 17065248 34130496