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74342388384 = 2534112293809
BaseRepresentation
bin100010100111100100…
…1101101001010100000
321002220001022121220000
41011033021231022200
52204223122412014
654052531220000
75241162606045
oct1051711551240
9232801277800
1074342388384
112958a381800
12124a9147600
137019c88834
1438536151cc
151e01969509
hex114f26d2a0

74342388384 has 360 divisors, whose sum is σ = 241440382260. Its totient is φ = 22423357440.

The previous prime is 74342388331. The next prime is 74342388401. The reversal of 74342388384 is 48388324347.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 57778698384 + 16563690000 = 240372^2 + 128700^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 74342388384.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 91893772 + ... + 91894580.

Almost surely, 274342388384 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 74342388384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120720191130).

74342388384 is an abundant number, since it is smaller than the sum of its proper divisors (167097993876).

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

74342388384 is a wasteful number, since it uses less digits than its factorization.

74342388384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1118 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The spelling of 74342388384 in words is "seventy-four billion, three hundred forty-two million, three hundred eighty-eight thousand, three hundred eighty-four".