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3034900 = 2252113189
BaseRepresentation
bin1011100100111100010100
312201012002201
423210330110
51234104100
6145014244
734540051
oct13447424
95635081
103034900
111793190
121024384
138234cb
14590028
153ee36a
hex2e4f14

3034900 has 72 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 1056000.

The previous prime is 3034883. The next prime is 3034903. The reversal of 3034900 is 94303.

3034900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3034903) 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 23 ways as a sum of consecutive naturals, for example, 34056 + ... + 34144.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

Almost surely, 23034900 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 3034900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

3034900 is an abundant number, since it is smaller than the sum of its proper divisors (4464620).

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

3034900 is a wasteful number, since it uses less digits than its factorization.

3034900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 3034900 is about 1742.0964382031. The cubic root of 3034900 is about 144.7820745389.

The spelling of 3034900 in words is "three million, thirty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 89 100 110 124 155 178 220 275 310 341 356 445 550 620 682 775 890 979 1100 1364 1550 1705 1780 1958 2225 2759 3100 3410 3916 4450 4895 5518 6820 8525 8900 9790 11036 13795 17050 19580 24475 27590 30349 34100 48950 55180 60698 68975 97900 121396 137950 151745 275900 303490 606980 758725 1517450 3034900