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77340501 = 347136403
BaseRepresentation
bin1001001110000…
…01111101010101
312101112022020000
410213001331111
5124244344001
611401401513
71626245340
oct447017525
9171468200
1077340501
113a725077
1221a99299
131303ba14
14a3b3457
156bcaa86
hex49c1f55

77340501 has 20 divisors (see below), whose sum is σ = 132039072. Its totient is φ = 44194248.

The previous prime is 77340499. The next prime is 77340511. The reversal of 77340501 is 10504377.

It is not a de Polignac number, because 77340501 - 21 = 77340499 is a prime.

It is a super-3 number, since 3×773405013 (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77340511) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67635 + ... + 68768.

Almost surely, 277340501 is an apocalyptic number.

It is an amenable number.

77340501 is a deficient number, since it is larger than the sum of its proper divisors (54698571).

77340501 is a wasteful number, since it uses less digits than its factorization.

77340501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136422 (or 136413 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 77340501 is about 8794.3448306284. The cubic root of 77340501 is about 426.0582641990.

Adding to 77340501 its reverse (10504377), we get a palindrome (87844878).

It can be divided in two parts, 77340 and 501, that added together give a square (77841 = 2792).

The spelling of 77340501 in words is "seventy-seven million, three hundred forty thousand, five hundred one".

Divisors: 1 3 7 9 21 27 63 81 189 567 136403 409209 954821 1227627 2864463 3682881 8593389 11048643 25780167 77340501