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77834328 = 233111322679
BaseRepresentation
bin1001010001110…
…10100001011000
312102110101121220
410220322201120
5124411144303
611420132040
71633403145
oct450724130
9172411556
1077834328
113aa320a0
1222097020
1313182720
14a4a13cc
156c77053
hex4a3a858

77834328 has 64 divisors (see below), whose sum is σ = 228614400. Its totient is φ = 21770880.

The previous prime is 77834321. The next prime is 77834333. The reversal of 77834328 is 82343877.

It is a self number, because there is not a number n which added to its sum of digits gives 77834328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77834321) 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 15 ways as a sum of consecutive naturals, for example, 7908 + ... + 14771.

It is an arithmetic number, because the mean of its divisors is an integer number (3572100).

Almost surely, 277834328 is an apocalyptic number.

77834328 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

77834328 is an abundant number, since it is smaller than the sum of its proper divisors (150780072).

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

77834328 is a wasteful number, since it uses less digits than its factorization.

77834328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22712 (or 22708 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 77834328 is about 8822.3765505673. The cubic root of 77834328 is about 426.9631495090.

The spelling of 77834328 in words is "seventy-seven million, eight hundred thirty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 22679 45358 68037 90716 136074 181432 249469 272148 294827 498938 544296 589654 748407 884481 997876 1179308 1496814 1768962 1995752 2358616 2993628 3243097 3537924 5987256 6486194 7075848 9729291 12972388 19458582 25944776 38917164 77834328