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29030400 = 21134527
BaseRepresentation
bin110111010111…
…1100000000000
32000121220020000
41232233200000
524412433100
62514120000
7501516510
oct156574000
960556200
1029030400
1115428a73
129880000
136025869
143bd9840
152836900
hex1baf800

29030400 has 360 divisors, whose sum is σ = 122882760. Its totient is φ = 6635520.

The previous prime is 29030387. The next prime is 29030401. The reversal of 29030400 is 403092.

It is a Jordan-Polya number, since it can be written as 10! ⋅ (2!)3.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29030401) 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 29 ways as a sum of consecutive naturals, for example, 4147197 + ... + 4147203.

It is an arithmetic number, because the mean of its divisors is an integer number (341341).

Almost surely, 229030400 is an apocalyptic number.

29030400 is a gapful number since it is divisible by the number (20) 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 29030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61441380).

29030400 is an abundant number, since it is smaller than the sum of its proper divisors (93852360).

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

29030400 is an equidigital number, since it uses as much as digits as its factorization.

29030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 29030400 is about 5387.9866369545. The cubic root of 29030400 is about 307.3389995970.

Adding to 29030400 its reverse (403092), we get a palindrome (29433492).

The spelling of 29030400 in words is "twenty-nine million, thirty thousand, four hundred".