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34320780 = 22335134889
BaseRepresentation
bin1000001011101…
…1000110001100
32101120200021000
42002323012030
532241231110
63223340300
7564502404
oct202730614
971520230
1034320780
111841178a
12b5b1690
137158870
1447b5804
15302e1c0
hex20bb18c

34320780 has 96 divisors (see below), whose sum is σ = 115012800. Its totient is φ = 8446464.

The previous prime is 34320757. The next prime is 34320787. The reversal of 34320780 is 8702343.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34320787) 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 31 ways as a sum of consecutive naturals, for example, 4576 + ... + 9464.

It is an arithmetic number, because the mean of its divisors is an integer number (1198050).

Almost surely, 234320780 is an apocalyptic number.

34320780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34320780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57506400).

34320780 is an abundant number, since it is smaller than the sum of its proper divisors (80692020).

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

34320780 is a wasteful number, since it uses less digits than its factorization.

34320780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4920 (or 4912 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 34320780 is about 5858.3939778748. The cubic root of 34320780 is about 324.9768188594.

The spelling of 34320780 in words is "thirty-four million, three hundred twenty thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 4889 7020 9778 14667 19556 24445 29334 44001 48890 58668 63557 73335 88002 97780 127114 132003 146670 176004 190671 220005 254228 264006 293340 317785 381342 440010 528012 572013 635570 660015 762684 880020 953355 1144026 1271140 1320030 1716039 1906710 2288052 2640060 2860065 3432078 3813420 5720130 6864156 8580195 11440260 17160390 34320780