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77243340 = 22351379397
BaseRepresentation
bin1001001101010…
…10001111001100
312101100100221110
410212222033030
5124233241330
611355332020
71625362146
oct446521714
9171310843
1077243340
113a669079
1221a51010
1313006725
14a389c96
156babdb0
hex49aa3cc

77243340 has 48 divisors (see below), whose sum is σ = 217883232. Its totient is φ = 20445696.

The previous prime is 77243339. The next prime is 77243347. The reversal of 77243340 is 4334277.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 77243298 and 77243307.

It is not an unprimeable number, because it can be changed into a prime (77243347) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3522 + ... + 12918.

It is an arithmetic number, because the mean of its divisors is an integer number (4539234).

Almost surely, 277243340 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 77243340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108941616).

77243340 is an abundant number, since it is smaller than the sum of its proper divisors (140639892).

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

77243340 is a wasteful number, since it uses less digits than its factorization.

77243340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9546 (or 9544 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 30.

The square root of 77243340 is about 8788.8190332945. The cubic root of 77243340 is about 425.8797738711.

The spelling of 77243340 in words is "seventy-seven million, two hundred forty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1644 2055 2740 4110 8220 9397 18794 28191 37588 46985 56382 93970 112764 140955 187940 281910 563820 1287389 2574778 3862167 5149556 6436945 7724334 12873890 15448668 19310835 25747780 38621670 77243340