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74414016 = 26322341137
BaseRepresentation
bin1000110111101…
…11011111000000
312012000121211200
410123313133000
5123022222031
611214541200
71562336325
oct433673700
9165017750
1074414016
1139006396
1220b07800
1312555981
149c50b4c
1567ed8e6
hex46f77c0

74414016 has 168 divisors, whose sum is σ = 229660704. Its totient is φ = 22978560.

The previous prime is 74413979. The next prime is 74414033. The reversal of 74414016 is 61041447.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543100 + ... + 543236.

It is an arithmetic number, because the mean of its divisors is an integer number (1367028).

Almost surely, 274414016 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 74414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114830352).

74414016 is an abundant number, since it is smaller than the sum of its proper divisors (155246688).

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

74414016 is a wasteful number, since it uses less digits than its factorization.

74414016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 74414016 is about 8626.3558934234. The cubic root of 74414016 is about 420.6151529981.

The spelling of 74414016 in words is "seventy-four million, four hundred fourteen thousand, sixteen".