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34226480 = 2453137373
BaseRepresentation
bin1000001010010…
…0000100110000
32101101212220102
42002210010300
532230221410
63221331532
7563630441
oct202440460
971355812
1034226480
1118357952
12b566ba8
137124972
14478d2c8
1530112a5
hex20a4130

34226480 has 80 divisors (see below), whose sum is σ = 84589824. Its totient is φ = 12856320.

The previous prime is 34226477. The next prime is 34226503. The reversal of 34226480 is 8462243.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 91574 + ... + 91946.

Almost surely, 234226480 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 34226480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42294912).

34226480 is an abundant number, since it is smaller than the sum of its proper divisors (50363344).

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

34226480 is a wasteful number, since it uses less digits than its factorization.

34226480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 448 counting only the distinct ones).

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

The square root of 34226480 is about 5850.3401610505. The cubic root of 34226480 is about 324.6789097013.

The spelling of 34226480 in words is "thirty-four million, two hundred twenty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 37 40 62 74 80 124 148 155 185 248 296 310 370 373 496 592 620 740 746 1147 1240 1480 1492 1865 2294 2480 2960 2984 3730 4588 5735 5968 7460 9176 11470 11563 13801 14920 18352 22940 23126 27602 29840 45880 46252 55204 57815 69005 91760 92504 110408 115630 138010 185008 220816 231260 276020 427831 462520 552040 855662 925040 1104080 1711324 2139155 3422648 4278310 6845296 8556620 17113240 34226480