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77340296 = 23112109733
BaseRepresentation
bin1001001110000…
…01111010001000
312101112021221102
410213001322020
5124244342141
611401400532
71626244625
oct447017210
9171467842
1077340296
113a724a00
1221a99148
131303b8b7
14a3b334c
156bca99b
hex49c1e88

77340296 has 48 divisors (see below), whose sum is σ = 161076300. Its totient is φ = 34784640.

The previous prime is 77340287. The next prime is 77340353. The reversal of 77340296 is 69204377.

It can be written as a sum of positive squares in 2 ways, for example, as 64480900 + 12859396 = 8030^2 + 3586^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 105146 + ... + 105878.

Almost surely, 277340296 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 77340296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80538150).

77340296 is an abundant number, since it is smaller than the sum of its proper divisors (83736004).

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

77340296 is a wasteful number, since it uses less digits than its factorization.

77340296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 77340296 is about 8794.3331754034. Note that the first 3 decimals coincide. The cubic root of 77340296 is about 426.0578877597.

The spelling of 77340296 in words is "seventy-seven million, three hundred forty thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 22 44 88 109 121 218 242 436 484 733 872 968 1199 1466 2398 2932 4796 5864 8063 9592 13189 16126 26378 32252 52756 64504 79897 88693 105512 159794 177386 319588 354772 639176 709544 878867 1757734 3515468 7030936 9667537 19335074 38670148 77340296