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34220648 = 2371173761
BaseRepresentation
bin1000001010001…
…0101001101000
32101101120220102
42002202221220
532230030043
63221244532
7563604440
oct202425150
971346812
1034220648
1118353530
12b563748
137122107
14478b120
15300e6b8
hex20a2a68

34220648 has 64 divisors (see below), whose sum is σ = 81198720. Its totient is φ = 13132800.

The previous prime is 34220591. The next prime is 34220657. The reversal of 34220648 is 84602243.

It is a self number, because there is not a number n which added to its sum of digits gives 34220648.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44588 + ... + 45348.

It is an arithmetic number, because the mean of its divisors is an integer number (1268730).

Almost surely, 234220648 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 34220648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40599360).

34220648 is an abundant number, since it is smaller than the sum of its proper divisors (46978072).

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

34220648 is a wasteful number, since it uses less digits than its factorization.

34220648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 34220648 is about 5849.8417072601. The cubic root of 34220648 is about 324.6604674994.

The spelling of 34220648 in words is "thirty-four million, two hundred twenty thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 73 77 88 146 154 292 308 511 584 616 761 803 1022 1522 1606 2044 3044 3212 4088 5327 5621 6088 6424 8371 10654 11242 16742 21308 22484 33484 42616 44968 55553 58597 66968 111106 117194 222212 234388 388871 444424 468776 611083 777742 1222166 1555484 2444332 3110968 4277581 4888664 8555162 17110324 34220648