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75434304 = 26311217191
BaseRepresentation
bin1000111111100…
…00100101000000
312020221110102010
410133300211000
5123302344204
611252452520
71604116041
oct437604500
9166843363
1075434304
1139642a00
122131a140
13128221aa
14a0388c8
156950d89
hex47f0940

75434304 has 168 divisors, whose sum is σ = 233501184. Its totient is φ = 21401600.

The previous prime is 75434299. The next prime is 75434323. The reversal of 75434304 is 40343457.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 394849 + ... + 395039.

It is an arithmetic number, because the mean of its divisors is an integer number (1389888).

Almost surely, 275434304 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 75434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116750592).

75434304 is an abundant number, since it is smaller than the sum of its proper divisors (158066880).

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

75434304 is a wasteful number, since it uses less digits than its factorization.

75434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 75434304 is about 8685.2923957688. The cubic root of 75434304 is about 422.5287801783.

The spelling of 75434304 in words is "seventy-five million, four hundred thirty-four thousand, three hundred four".