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34489000 = 2353713379
BaseRepresentation
bin1000001110010…
…0001010101000
32101220020000101
42003210022220
532312122000
63231115144
7566103010
oct203441250
971806011
1034489000
1118517107
12b672ab4
1371b72c0
14481ac40
153063e6a
hex20e42a8

34489000 has 128 divisors (see below), whose sum is σ = 99590400. Its totient is φ = 10886400.

The previous prime is 34488991. The next prime is 34489001. The reversal of 34489000 is 98443.

It is a super-2 number, since 2×344890002 = 2378982242000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 34489000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34489001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90811 + ... + 91189.

It is an arithmetic number, because the mean of its divisors is an integer number (778050).

Almost surely, 234489000 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 34489000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49795200).

34489000 is an abundant number, since it is smaller than the sum of its proper divisors (65101400).

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

34489000 is a wasteful number, since it uses less digits than its factorization.

34489000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 34489000 is about 5872.7336054005. The cubic root of 34489000 is about 325.5069012846.

The spelling of 34489000 in words is "thirty-four million, four hundred eighty-nine thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 379 455 500 520 650 700 728 758 875 910 1000 1300 1400 1516 1625 1750 1820 1895 2275 2600 2653 3032 3250 3500 3640 3790 4550 4927 5306 6500 7000 7580 9100 9475 9854 10612 11375 13000 13265 15160 18200 18950 19708 21224 22750 24635 26530 34489 37900 39416 45500 47375 49270 53060 66325 68978 75800 91000 94750 98540 106120 123175 132650 137956 172445 189500 197080 246350 265300 275912 331625 344890 379000 492700 530600 615875 663250 689780 862225 985400 1231750 1326500 1379560 1724450 2463500 2653000 3448900 4311125 4927000 6897800 8622250 17244500 34489000