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34822980 = 22335591093
BaseRepresentation
bin1000010011010…
…1101101000100
32102112012011000
42010311231010
532403313410
63242213300
7601663503
oct204655504
972465130
1034822980
1118725025
12b7b4230
1372a331a
1448a683a
1530ccdc0
hex2135b44

34822980 has 96 divisors (see below), whose sum is σ = 110275200. Its totient is φ = 9120384.

The previous prime is 34822979. The next prime is 34822999. The reversal of 34822980 is 8922843.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 31314 + ... + 32406.

It is an arithmetic number, because the mean of its divisors is an integer number (1148700).

Almost surely, 234822980 is an apocalyptic number.

34822980 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 34822980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55137600).

34822980 is an abundant number, since it is smaller than the sum of its proper divisors (75452220).

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

34822980 is a wasteful number, since it uses less digits than its factorization.

34822980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 34822980 is about 5901.0998974767. The cubic root of 34822980 is about 326.5542280438.

The spelling of 34822980 in words is "thirty-four million, eight hundred twenty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 90 108 118 135 177 180 236 270 295 354 531 540 590 708 885 1062 1093 1180 1593 1770 2124 2186 2655 3186 3279 3540 4372 5310 5465 6372 6558 7965 9837 10620 10930 13116 15930 16395 19674 21860 29511 31860 32790 39348 49185 59022 64487 65580 98370 118044 128974 147555 193461 196740 257948 295110 322435 386922 580383 590220 644870 773844 967305 1160766 1289740 1741149 1934610 2321532 2901915 3482298 3869220 5803830 6964596 8705745 11607660 17411490 34822980