Search a number
-
+
76000314 = 23132241311
BaseRepresentation
bin1001000011110…
…10110000111010
312022000012211110
410201322300322
5123424002224
611312541150
71611664155
oct441726072
9168005743
1076000314
113999a185
12215517b6
131298ca00
14a144c9c
156a13929
hex487ac3a

76000314 has 48 divisors (see below), whose sum is σ = 165806784. Its totient is φ = 23212800.

The previous prime is 76000283. The next prime is 76000343. The reversal of 76000314 is 41300067.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244219 + ... + 244529.

It is an arithmetic number, because the mean of its divisors is an integer number (3454308).

Almost surely, 276000314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76000314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82903392).

76000314 is an abundant number, since it is smaller than the sum of its proper divisors (89806470).

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

76000314 is a wasteful number, since it uses less digits than its factorization.

76000314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 76000314 is about 8717.8158961979. The cubic root of 76000314 is about 423.5829417793.

The spelling of 76000314 in words is "seventy-six million, three hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 13 26 39 78 169 241 311 338 482 507 622 723 933 1014 1446 1866 3133 4043 6266 8086 9399 12129 18798 24258 40729 52559 74951 81458 105118 122187 149902 157677 224853 244374 315354 449706 974363 1948726 2923089 5846178 12666719 25333438 38000157 76000314