Search a number
-
+
342454230 = 23451273329
BaseRepresentation
bin10100011010010…
…110111111010110
3212212101110220000
4110122112333112
51200132013410
653551552130
711325545556
oct2432267726
9785343800
10342454230
11166340a28
129682b646
1355c43751
14336a5166
15200e7dc0
hex14696fd6

342454230 has 80 divisors (see below), whose sum is σ = 928350720. Its totient is φ = 90574848.

The previous prime is 342454223. The next prime is 342454237. The reversal of 342454230 is 32454243.

342454230 is a `hidden beast` number, since 3 + 424 + 5 + 4 + 230 = 666.

342454230 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (342454223) and next prime (342454237).

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

It is a junction number, because it is equal to n+sod(n) for n = 342454194 and 342454203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342454237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 101206 + ... + 104534.

It is an arithmetic number, because the mean of its divisors is an integer number (11604384).

Almost surely, 2342454230 is an apocalyptic number.

342454230 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 342454230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464175360).

342454230 is an abundant number, since it is smaller than the sum of its proper divisors (585896490).

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

342454230 is a wasteful number, since it uses less digits than its factorization.

342454230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3475 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 342454230 is about 18505.5189065316. The cubic root of 342454230 is about 699.6285307984.

The spelling of 342454230 in words is "three hundred forty-two million, four hundred fifty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 127 135 162 254 270 381 405 635 762 810 1143 1270 1905 2286 3329 3429 3810 5715 6658 6858 9987 10287 11430 16645 17145 19974 20574 29961 33290 34290 49935 51435 59922 89883 99870 102870 149805 179766 269649 299610 422783 449415 539298 845566 898830 1268349 1348245 2113915 2536698 2696490 3805047 4227830 6341745 7610094 11415141 12683490 19025235 22830282 34245423 38050470 57075705 68490846 114151410 171227115 342454230