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34952980 = 2254397419
BaseRepresentation
bin1000010101010…
…1011100010100
32102202210110211
42011111130110
532421443410
63245055204
7603044506
oct205253424
972683424
1034952980
1118803767
12b857504
13731a54a
1448dbd76
15310668a
hex2155714

34952980 has 48 divisors (see below), whose sum is σ = 76063680. Its totient is φ = 13483008.

The previous prime is 34952977. The next prime is 34952987. The reversal of 34952980 is 8925943.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34952987) 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 15 ways as a sum of consecutive naturals, for example, 83211 + ... + 83629.

It is an arithmetic number, because the mean of its divisors is an integer number (1584660).

Almost surely, 234952980 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 34952980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38031840).

34952980 is an abundant number, since it is smaller than the sum of its proper divisors (41110700).

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

34952980 is a wasteful number, since it uses less digits than its factorization.

34952980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 34952980 is about 5912.1045322288. The cubic root of 34952980 is about 326.9600839094.

The spelling of 34952980 in words is "thirty-four million, nine hundred fifty-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 43 86 97 172 194 215 388 419 430 485 838 860 970 1676 1940 2095 4171 4190 8342 8380 16684 18017 20855 36034 40643 41710 72068 81286 83420 90085 162572 180170 203215 360340 406430 812860 1747649 3495298 6990596 8738245 17476490 34952980