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34489840 = 2457112509
BaseRepresentation
bin1000001110010…
…0010111110000
32101220021011111
42003210113300
532312133330
63231123104
7566105320
oct203442760
971807144
1034489840
1118517800
12b673494
1371b77b8
14481b280
15306432a
hex20e45f0

34489840 has 120 divisors (see below), whose sum is σ = 100931040. Its totient is φ = 10728960.

The previous prime is 34489837. The next prime is 34489841. The reversal of 34489840 is 4898443.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 34489793 and 34489802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34489841) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 67506 + ... + 68014.

It is an arithmetic number, because the mean of its divisors is an integer number (841092).

Almost surely, 234489840 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 34489840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50465520).

34489840 is an abundant number, since it is smaller than the sum of its proper divisors (66441200).

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

34489840 is a wasteful number, since it uses less digits than its factorization.

34489840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 34489840 is about 5872.8051219158. The cubic root of 34489840 is about 325.5095439009.

The spelling of 34489840 in words is "thirty-four million, four hundred eighty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 121 140 154 176 220 242 280 308 385 440 484 509 560 605 616 770 847 880 968 1018 1210 1232 1540 1694 1936 2036 2420 2545 3080 3388 3563 4072 4235 4840 5090 5599 6160 6776 7126 8144 8470 9680 10180 11198 13552 14252 16940 17815 20360 22396 27995 28504 33880 35630 39193 40720 44792 55990 57008 61589 67760 71260 78386 89584 111980 123178 142520 156772 195965 223960 246356 285040 307945 313544 391930 431123 447920 492712 615890 627088 783860 862246 985424 1231780 1567720 1724492 2155615 2463560 3135440 3448984 4311230 4927120 6897968 8622460 17244920 34489840