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345061134 = 23411238419
BaseRepresentation
bin10100100100010…
…011011100001110
3220001021220220000
4110210103130032
51201313424014
654123505130
711356654065
oct2444233416
9801256800
10345061134
111678615a0
12976881a6
13566471b2
1433b831dc
1520460509
hex1491370e

345061134 has 80 divisors (see below), whose sum is σ = 880260480. Its totient is φ = 100005840.

The previous prime is 345061133. The next prime is 345061141. The reversal of 345061134 is 431160543.

345061134 is a `hidden beast` number, since 3 + 45 + 0 + 611 + 3 + 4 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 345061098 and 345061107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345061133) 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 39 ways as a sum of consecutive naturals, for example, 36777 + ... + 45195.

It is an arithmetic number, because the mean of its divisors is an integer number (11003256).

Almost surely, 2345061134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345061134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440130240).

345061134 is an abundant number, since it is smaller than the sum of its proper divisors (535199346).

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

345061134 is a wasteful number, since it uses less digits than its factorization.

345061134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8467 (or 8458 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 345061134 is about 18575.8212200699. The cubic root of 345061134 is about 701.3993327770.

The spelling of 345061134 in words is "three hundred forty-five million, sixty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 81 99 138 162 198 207 253 297 414 506 594 621 759 891 1242 1518 1782 1863 2277 3726 4554 6831 8419 13662 16838 20493 25257 40986 50514 75771 92609 151542 185218 193637 227313 277827 387274 454626 555654 580911 681939 833481 1161822 1363878 1666962 1742733 2130007 2500443 3485466 4260014 5000886 5228199 6390021 7501329 10456398 12780042 15002658 15684597 19170063 31369194 38340126 57510189 115020378 172530567 345061134