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334343430 = 23354726347
BaseRepresentation
bin10011111011011…
…010110100000110
3212022010101222000
4103323122310012
51141042442210
653102050130
711166605121
oct2373326406
9768111860
10334343430
11161801193
1293b79946
1354363a65
14325933b8
151e544ac0
hex13edad06

334343430 has 64 divisors (see below), whose sum is σ = 910586880. Its totient is φ = 87257952.

The previous prime is 334343423. The next prime is 334343453. The reversal of 334343430 is 34343433.

It is a super-2 number, since 2×3343434302 = 223571058368329800, 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 = 334343394 and 334343403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484 + ... + 25863.

It is an arithmetic number, because the mean of its divisors is an integer number (14227920).

Almost surely, 2334343430 is an apocalyptic number.

334343430 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 334343430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455293440).

334343430 is an abundant number, since it is smaller than the sum of its proper divisors (576243450).

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

334343430 is a wasteful number, since it uses less digits than its factorization.

334343430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26410 (or 26404 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

The square root of 334343430 is about 18285.0602952246. The cubic root of 334343430 is about 694.0609300180.

Adding to 334343430 its reverse (34343433), we get a palindrome (368686863).

It can be divided in two parts, 33434 and 3430, that added together give a square (36864 = 1922).

The spelling of 334343430 in words is "three hundred thirty-four million, three hundred forty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 141 235 270 282 423 470 705 846 1269 1410 2115 2538 4230 6345 12690 26347 52694 79041 131735 158082 237123 263470 395205 474246 711369 790410 1185615 1238309 1422738 2371230 2476618 3556845 3714927 6191545 7113690 7429854 11144781 12383090 18574635 22289562 33434343 37149270 55723905 66868686 111447810 167171715 334343430