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340133304 = 23372377817
BaseRepresentation
bin10100010001100…
…000010110111000
3212201000120011210
4110101200112320
51144033231204
653430123120
711300041200
oct2421402670
9781016153
10340133304
11164aa6205
1295ab04a0
1355610214
143325d400
151ecda389
hex144605b8

340133304 has 96 divisors (see below), whose sum is σ = 1016027280. Its totient is φ = 94542336.

The previous prime is 340133293. The next prime is 340133329. The reversal of 340133304 is 403331043.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 39604 + ... + 47420.

Almost surely, 2340133304 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 340133304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508013640).

340133304 is an abundant number, since it is smaller than the sum of its proper divisors (675893976).

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

340133304 is a wasteful number, since it uses less digits than its factorization.

340133304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7877 (or 7866 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 340133304 is about 18442.7032725683. The cubic root of 340133304 is about 698.0444084137.

Adding to 340133304 its reverse (403331043), we get a palindrome (743464347).

The spelling of 340133304 in words is "three hundred forty million, one hundred thirty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 49 56 74 84 98 111 147 148 168 196 222 259 294 296 392 444 518 588 777 888 1036 1176 1554 1813 2072 3108 3626 5439 6216 7252 7817 10878 14504 15634 21756 23451 31268 43512 46902 54719 62536 93804 109438 164157 187608 218876 289229 328314 383033 437752 578458 656628 766066 867687 1149099 1156916 1313256 1532132 1735374 2024603 2298198 2313832 3064264 3470748 4049206 4596396 6073809 6941496 8098412 9192792 12147618 14172221 16196824 24295236 28344442 42516663 48590472 56688884 85033326 113377768 170066652 340133304