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30823400 = 2352229673
BaseRepresentation
bin111010110010…
…1001111101000
32010222222202102
41311211033220
530342322100
63020352532
7522665066
oct165451750
963888672
1030823400
1116443093
12a3a5748
1365029ca
144145036
152a8ccd5
hex1d653e8

30823400 has 48 divisors (see below), whose sum is σ = 72084300. Its totient is φ = 12257280.

The previous prime is 30823391. The next prime is 30823411. The reversal of 30823400 is 432803.

It can be written as a sum of positive squares in 6 ways, for example, as 16337764 + 14485636 = 4042^2 + 3806^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45464 + ... + 46136.

Almost surely, 230823400 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 30823400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36042150).

30823400 is an abundant number, since it is smaller than the sum of its proper divisors (41260900).

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

30823400 is a wasteful number, since it uses less digits than its factorization.

30823400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 30823400 is about 5551.8825635995. The cubic root of 30823400 is about 313.5404043441.

The spelling of 30823400 in words is "thirty million, eight hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 229 458 673 916 1145 1346 1832 2290 2692 3365 4580 5384 5725 6730 9160 11450 13460 16825 22900 26920 33650 45800 67300 134600 154117 308234 616468 770585 1232936 1541170 3082340 3852925 6164680 7705850 15411700 30823400