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74380288 = 210193823
BaseRepresentation
bin1000110111011…
…11010000000000
312011221220120111
410123233100000
5123020132123
611214121104
71562136103
oct433572000
9164856514
1074380288
1138a93014
1220ab0194
1312543508
149c4273a
1567e390d
hex46ef400

74380288 has 44 divisors (see below), whose sum is σ = 156554560. Its totient is φ = 35223552.

The previous prime is 74380283. The next prime is 74380291. The reversal of 74380288 is 88208347.

It is a self number, because there is not a number n which added to its sum of digits gives 74380288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74380283) 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 3 ways as a sum of consecutive naturals, for example, 17545 + ... + 21367.

Almost surely, 274380288 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 74380288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78277280).

74380288 is an abundant number, since it is smaller than the sum of its proper divisors (82174272).

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

74380288 is a wasteful number, since it uses less digits than its factorization.

74380288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 74380288 is about 8624.4007328046. The cubic root of 74380288 is about 420.5515957431.

The spelling of 74380288 in words is "seventy-four million, three hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1024 1216 2432 3823 4864 7646 9728 15292 19456 30584 61168 72637 122336 145274 244672 290548 489344 581096 978688 1162192 1957376 2324384 3914752 4648768 9297536 18595072 37190144 74380288