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34882980 = 223511173109
BaseRepresentation
bin1000010100010…
…0010110100100
32102122020110020
42011010112210
532412223410
63243355140
7602333436
oct205042644
972566406
1034882980
1118766110
12b822ab0
1372c4722
1448c0656
1530e0a70
hex21445a4

34882980 has 96 divisors (see below), whose sum is σ = 112855680. Its totient is φ = 7956480.

The previous prime is 34882979. The next prime is 34882999. The reversal of 34882980 is 8928843.

It is a happy number.

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, 9666 + ... + 12774.

It is an arithmetic number, because the mean of its divisors is an integer number (1175580).

Almost surely, 234882980 is an apocalyptic number.

34882980 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 34882980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56427840).

34882980 is an abundant number, since it is smaller than the sum of its proper divisors (77972700).

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

34882980 is a wasteful number, since it uses less digits than its factorization.

34882980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 34882980 is about 5906.1815075394. The cubic root of 34882980 is about 326.7416714254.

The spelling of 34882980 in words is "thirty-four million, eight hundred eighty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3109 3740 5610 6218 9327 11220 12436 15545 18654 31090 34199 37308 46635 52853 62180 68398 93270 102597 105706 136796 158559 170995 186540 205194 211412 264265 317118 341990 410388 512985 528530 581383 634236 683980 792795 1025970 1057060 1162766 1585590 1744149 2051940 2325532 2906915 3171180 3488298 5813830 6976596 8720745 11627660 17441490 34882980