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74208420 = 223351113312
BaseRepresentation
bin1000110110001…
…01010010100100
312011122011211000
410123011102210
5122444132140
611210313300
71560522036
oct433052244
9164564730
1074208420
1138985980
1220a28830
13124b3210
149bd9c56
1567aca30
hex46c54a4

74208420 has 288 divisors, whose sum is σ = 280264320. Its totient is φ = 16070400.

The previous prime is 74208397. The next prime is 74208439. The reversal of 74208420 is 2480247.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 2393805 + ... + 2393835.

It is an arithmetic number, because the mean of its divisors is an integer number (973140).

Almost surely, 274208420 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 74208420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140132160).

74208420 is an abundant number, since it is smaller than the sum of its proper divisors (206055900).

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

74208420 is a wasteful number, since it uses less digits than its factorization.

74208420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 74208420 is about 8614.4309156206. The cubic root of 74208420 is about 420.2274278472.

Adding to 74208420 its reverse (2480247), we get a palindrome (76688667).

The spelling of 74208420 in words is "seventy-four million, two hundred eight thousand, four hundred twenty".