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334542000 = 24353134289
BaseRepresentation
bin10011111100001…
…011010010110000
3212022111111100110
4103330023102300
51141120321000
653110221320
711201363052
oct2374132260
9768444313
10334542000
111619273a1
1294054840
1354403260
14326058d2
151e583850
hex13f0b4b0

334542000 has 160 divisors (see below), whose sum is σ = 1161800640. Its totient is φ = 82329600.

The previous prime is 334541953. The next prime is 334542023. The reversal of 334542000 is 245433.

It is a happy number.

It is a super-2 number, since 2×3345420002 = 223836699528000000, which contains 22 as substring.

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, 75856 + ... + 80144.

It is an arithmetic number, because the mean of its divisors is an integer number (7261254).

Almost surely, 2334542000 is an apocalyptic number.

334542000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580900320).

334542000 is an abundant number, since it is smaller than the sum of its proper divisors (827258640).

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

334542000 is a wasteful number, since it uses less digits than its factorization.

334542000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4328 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 334542000 is about 18290.4893318905. The cubic root of 334542000 is about 694.1983061322.

Adding to 334542000 its reverse (245433), we get a palindrome (334787433).

The spelling of 334542000 in words is "three hundred thirty-four million, five hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 125 130 150 156 195 200 208 240 250 260 300 312 325 375 390 400 500 520 600 624 650 750 780 975 1000 1040 1200 1300 1500 1560 1625 1950 2000 2600 3000 3120 3250 3900 4289 4875 5200 6000 6500 7800 8578 9750 12867 13000 15600 17156 19500 21445 25734 26000 34312 39000 42890 51468 55757 64335 68624 78000 85780 102936 107225 111514 128670 167271 171560 205872 214450 223028 257340 278785 321675 334542 343120 428900 446056 514680 536125 557570 643350 669084 836355 857800 892112 1029360 1072250 1115140 1286700 1338168 1393925 1608375 1672710 1715600 2144500 2230280 2573400 2676336 2787850 3216750 3345420 4181775 4289000 4460560 5146800 5575700 6433500 6690840 6969625 8363550 8578000 11151400 12867000 13381680 13939250 16727100 20908875 22302800 25734000 27878500 33454200 41817750 55757000 66908400 83635500 111514000 167271000 334542000