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30834120 = 2335263977
BaseRepresentation
bin111010110011…
…1110111001000
32011000112110110
41311213313020
530343142440
63020514320
7523041252
oct165476710
964015413
1030834120
1116450149
12a3ab9a0
136507855
144148cd2
152a91080
hex1d67dc8

30834120 has 64 divisors (see below), whose sum is σ = 92949120. Its totient is φ = 8182784.

The previous prime is 30834103. The next prime is 30834121. The reversal of 30834120 is 2143803.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (30834121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31072 + ... + 32048.

It is an arithmetic number, because the mean of its divisors is an integer number (1452330).

Almost surely, 230834120 is an apocalyptic number.

30834120 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 30834120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46474560).

30834120 is an abundant number, since it is smaller than the sum of its proper divisors (62115000).

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

30834120 is a wasteful number, since it uses less digits than its factorization.

30834120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 30834120 is about 5552.8479179607. The cubic root of 30834120 is about 313.5767486319.

Adding to 30834120 its reverse (2143803), we get a palindrome (32977923).

The spelling of 30834120 in words is "thirty million, eight hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 263 526 789 977 1052 1315 1578 1954 2104 2630 2931 3156 3908 3945 4885 5260 5862 6312 7816 7890 9770 10520 11724 14655 15780 19540 23448 29310 31560 39080 58620 117240 256951 513902 770853 1027804 1284755 1541706 2055608 2569510 3083412 3854265 5139020 6166824 7708530 10278040 15417060 30834120