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334121000 = 23532373199
BaseRepresentation
bin10011111010100…
…100100000101000
3212021201002211212
4103322210200220
51141013333000
653053212252
711164660463
oct2372444050
9767632755
10334121000
1116166a064
1293a91088
13542b6745
14325362da
151e4edc35
hex13ea4828

334121000 has 128 divisors (see below), whose sum is σ = 831168000. Its totient is φ = 125452800.

The previous prime is 334120993. The next prime is 334121003. The reversal of 334121000 is 121433.

It is a super-2 number, since 2×3341210002 = 223273685282000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334121003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1678901 + ... + 1679099.

It is an arithmetic number, because the mean of its divisors is an integer number (6493500).

Almost surely, 2334121000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415584000).

334121000 is an abundant number, since it is smaller than the sum of its proper divisors (497047000).

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

334121000 is a wasteful number, since it uses less digits than its factorization.

334121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 334121000 is about 18278.9769954448. The cubic root of 334121000 is about 693.9069823039.

Adding to 334121000 its reverse (121433), we get a palindrome (334242433).

The spelling of 334121000 in words is "three hundred thirty-four million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 73 92 100 115 125 146 184 199 200 230 250 292 365 398 460 500 575 584 730 796 920 995 1000 1150 1460 1592 1679 1825 1990 2300 2875 2920 3358 3650 3980 4577 4600 4975 5750 6716 7300 7960 8395 9125 9154 9950 11500 13432 14527 14600 16790 18250 18308 19900 22885 23000 24875 29054 33580 36500 36616 39800 41975 45770 49750 58108 67160 72635 73000 83950 91540 99500 114425 116216 145270 167900 183080 199000 209875 228850 290540 334121 335800 363175 419750 457700 572125 581080 668242 726350 839500 915400 1144250 1336484 1452700 1670605 1679000 1815875 2288500 2672968 2905400 3341210 3631750 4577000 6682420 7263500 8353025 13364840 14527000 16706050 33412100 41765125 66824200 83530250 167060500 334121000