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30808900 = 2252535813
BaseRepresentation
bin111010110000…
…1101101000100
32010222020212101
41311201231010
530341341100
63020201444
7522604603
oct165415504
963866771
1030808900
1116433201
12a399284
1364c9225
14413da3a
152a8886a
hex1d61b44

30808900 has 36 divisors (see below), whose sum is σ = 68128452. Its totient is φ = 12088960.

The previous prime is 30808871. The next prime is 30808907. The reversal of 30808900 is 980803.

It can be written as a sum of positive squares in 6 ways, for example, as 161604 + 30647296 = 402^2 + 5536^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30808907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2394 + ... + 8206.

It is an arithmetic number, because the mean of its divisors is an integer number (1892457).

Almost surely, 230808900 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 30808900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34064226).

30808900 is an abundant number, since it is smaller than the sum of its proper divisors (37319552).

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

30808900 is a wasteful number, since it uses less digits than its factorization.

30808900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5880 (or 5873 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 30808900 is about 5550.5765466301. The cubic root of 30808900 is about 313.4912312165.

The spelling of 30808900 in words is "thirty million, eight hundred eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 5813 11626 23252 29065 58130 116260 145325 290650 308089 581300 616178 1232356 1540445 3080890 6161780 7702225 15404450 30808900