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341705430 = 232511547631
BaseRepresentation
bin10100010111100…
…000001011010110
3212210222102201200
4110113200023112
51144434033210
653523533330
711316306513
oct2427401326
9783872650
10341705430
1116597a390
129652a246
1355a40981
143354c30a
151eeeb0c0
hex145e02d6

341705430 has 96 divisors (see below), whose sum is σ = 972511488. Its totient is φ = 82555200.

The previous prime is 341705417. The next prime is 341705437. The reversal of 341705430 is 34507143.

It is a junction number, because it is equal to n+sod(n) for n = 341705394 and 341705403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341705437) 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 47 ways as a sum of consecutive naturals, for example, 541215 + ... + 541845.

It is an arithmetic number, because the mean of its divisors is an integer number (10130328).

Almost surely, 2341705430 is an apocalyptic number.

341705430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 341705430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486255744).

341705430 is an abundant number, since it is smaller than the sum of its proper divisors (630806058).

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

341705430 is a wasteful number, since it uses less digits than its factorization.

341705430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 341705430 is about 18485.2760325617. The cubic root of 341705430 is about 699.1182298616.

The spelling of 341705430 in words is "three hundred forty-one million, seven hundred five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 547 631 990 1094 1262 1641 1893 2735 3155 3282 3786 4923 5470 5679 6017 6310 6941 8205 9465 9846 11358 12034 13882 16410 18051 18930 20823 24615 28395 30085 34705 36102 41646 49230 54153 56790 60170 62469 69410 90255 104115 108306 124938 180510 208230 270765 312345 345157 541530 624690 690314 1035471 1725785 2070942 3106413 3451570 3796727 5177355 6212826 7593454 10354710 11390181 15532065 18983635 22780362 31064130 34170543 37967270 56950905 68341086 113901810 170852715 341705430