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334424430 = 23358314923
BaseRepresentation
bin10011111011101…
…110100101101110
3212022021112002000
4103323232211232
51141103040210
653103513130
711200363224
oct2373564556
9768245060
10334424430
1116185702a
1293bb87a6
13543918a2
14325b4b14
151e55dac0
hex13eee96e

334424430 has 64 divisors (see below), whose sum is σ = 902603520. Its totient is φ = 88099488.

The previous prime is 334424423. The next prime is 334424479. The reversal of 334424430 is 34424433.

It is a super-2 number, since 2×3344244302 = 223679398761649800, which contains 22 as substring.

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 = 334424394 and 334424403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14949 + ... + 29871.

It is an arithmetic number, because the mean of its divisors is an integer number (14103180).

Almost surely, 2334424430 is an apocalyptic number.

334424430 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 334424430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451301760).

334424430 is an abundant number, since it is smaller than the sum of its proper divisors (568179090).

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

334424430 is a wasteful number, since it uses less digits than its factorization.

334424430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15022 (or 15016 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 334424430 is about 18287.2750840578. The cubic root of 334424430 is about 694.1169745827.

Adding to 334424430 its reverse (34424433), we get a palindrome (368848863).

The spelling of 334424430 in words is "three hundred thirty-four million, four hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 83 90 135 166 249 270 415 498 747 830 1245 1494 2241 2490 3735 4482 7470 11205 14923 22410 29846 44769 74615 89538 134307 149230 223845 268614 402921 447690 671535 805842 1238609 1343070 2014605 2477218 3715827 4029210 6193045 7431654 11147481 12386090 18579135 22294962 33442443 37158270 55737405 66884886 111474810 167212215 334424430