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34248648 = 2337229123
BaseRepresentation
bin1000001010100…
…1011111001000
32101110000022110
42002221133020
532231424043
63222022320
7564052200
oct202513710
971400273
1034248648
1118372575
12b5779a0
137131a95
144797400
153017b33
hex20a97c8

34248648 has 48 divisors (see below), whose sum is σ = 99604080. Its totient is φ = 9784992.

The previous prime is 34248631. The next prime is 34248661. The reversal of 34248648 is 84684243.

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 13386 + ... + 15737.

It is an arithmetic number, because the mean of its divisors is an integer number (2075085).

Almost surely, 234248648 is an apocalyptic number.

It is an amenable number.

34248648 is an abundant number, since it is smaller than the sum of its proper divisors (65355432).

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

34248648 is a wasteful number, since it uses less digits than its factorization.

34248648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29146 (or 29135 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 34248648 is about 5852.2344450646. The cubic root of 34248648 is about 324.7489911969.

The spelling of 34248648 in words is "thirty-four million, two hundred forty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 29123 58246 87369 116492 174738 203861 232984 349476 407722 611583 698952 815444 1223166 1427027 1630888 2446332 2854054 4281081 4892664 5708108 8562162 11416216 17124324 34248648