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34195980 = 22357136263
BaseRepresentation
bin1000001001110…
…0101000001100
32101100100001210
42002130220030
532223232410
63220534420
7563442510
oct202345014
971310053
1034195980
1118336a45
12b551410
137113b10
144782140
153007220
hex209ca0c

34195980 has 96 divisors (see below), whose sum is σ = 117863424. Its totient is φ = 7213824.

The previous prime is 34195979. The next prime is 34195999. The reversal of 34195980 is 8959143.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2329 + ... + 8591.

It is an arithmetic number, because the mean of its divisors is an integer number (1227744).

Almost surely, 234195980 is an apocalyptic number.

34195980 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 34195980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58931712).

34195980 is an abundant number, since it is smaller than the sum of its proper divisors (83667444).

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

34195980 is a wasteful number, since it uses less digits than its factorization.

34195980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6295 (or 6293 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 34195980 is about 5847.7328940368. The cubic root of 34195980 is about 324.5824381028.

The spelling of 34195980 in words is "thirty-four million, one hundred ninety-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 6263 12526 18789 25052 31315 37578 43841 62630 75156 81419 87682 93945 125260 131523 162838 175364 187890 219205 244257 263046 325676 375780 407095 438410 488514 526092 569933 657615 814190 876820 977028 1139866 1221285 1315230 1628380 1709799 2279732 2442570 2630460 2849665 3419598 4885140 5699330 6839196 8548995 11398660 17097990 34195980