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76813434 = 2341373461
BaseRepresentation
bin1001001010000…
…01010001111010
312100112112020000
410211001101322
5124131012214
611342213430
71621621605
oct445012172
9170475200
1076813434
113a3a5085
1221884276
1312bb5b49
14a2b733c
156b24809
hex494147a

76813434 has 40 divisors (see below), whose sum is σ = 173425428. Its totient is φ = 25410240.

The previous prime is 76813417. The next prime is 76813439. The reversal of 76813434 is 43431867.

It can be written as a sum of positive squares in 2 ways, for example, as 75742209 + 1071225 = 8703^2 + 1035^2 .

It is not an unprimeable number, because it can be changed into a prime (76813439) 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 19 ways as a sum of consecutive naturals, for example, 20464 + ... + 23924.

Almost surely, 276813434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76813434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86712714).

76813434 is an abundant number, since it is smaller than the sum of its proper divisors (96611994).

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

76813434 is a wasteful number, since it uses less digits than its factorization.

76813434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3603 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 76813434 is about 8764.3273558214. The cubic root of 76813434 is about 425.0882105253.

The spelling of 76813434 in words is "seventy-six million, eight hundred thirteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 137 162 274 411 822 1233 2466 3461 3699 6922 7398 10383 11097 20766 22194 31149 62298 93447 186894 280341 474157 560682 948314 1422471 2844942 4267413 8534826 12802239 25604478 38406717 76813434