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30340400 = 2452101751
BaseRepresentation
bin111001110111…
…1010100110000
32010002110012112
41303233110300
530231343100
63002144452
7515613656
oct163572460
963073175
1030340400
1116143212
12a1b2128
136393bcc
14405add6
1529e4b35
hex1cef530

30340400 has 60 divisors (see below), whose sum is σ = 73712544. Its totient is φ = 12000000.

The previous prime is 30340399. The next prime is 30340403. The reversal of 30340400 is 404303.

It is not an unprimeable number, because it can be changed into a prime (30340403) 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, 40025 + ... + 40775.

Almost surely, 230340400 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 30340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36856272).

30340400 is an abundant number, since it is smaller than the sum of its proper divisors (43372144).

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

30340400 is a wasteful number, since it uses less digits than its factorization.

30340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 30340400 is about 5508.2120511106. The cubic root of 30340400 is about 311.8940578285.

Adding to 30340400 its reverse (404303), we get a palindrome (30744703).

The spelling of 30340400 in words is "thirty million, three hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 400 404 505 751 808 1010 1502 1616 2020 2525 3004 3755 4040 5050 6008 7510 8080 10100 12016 15020 18775 20200 30040 37550 40400 60080 75100 75851 150200 151702 300400 303404 379255 606808 758510 1213616 1517020 1896275 3034040 3792550 6068080 7585100 15170200 30340400