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334350080 = 2852341277
BaseRepresentation
bin10011111011011…
…100011100000000
3212022010202002022
4103323130130000
51141043200310
653102141012
711166633401
oct2373343400
9768122068
10334350080
11161806189
1293b81768
1354366aac
14325959a8
151e546a55
hex13edc700

334350080 has 144 divisors (see below), whose sum is σ = 859166784. Its totient is φ = 124354560.

The previous prime is 334350031. The next prime is 334350091. The reversal of 334350080 is 80053433.

It is a super-2 number, since 2×3343500802 = 223579951992012800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1206902 + ... + 1207178.

It is an arithmetic number, because the mean of its divisors is an integer number (5966436).

Almost surely, 2334350080 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 334350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429583392).

334350080 is an abundant number, since it is smaller than the sum of its proper divisors (524816704).

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

334350080 is a wasteful number, since it uses less digits than its factorization.

334350080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 334350080 is about 18285.2421367615. The cubic root of 334350080 is about 694.0655315486.

The spelling of 334350080 in words is "three hundred thirty-four million, three hundred fifty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 41 46 64 80 82 92 115 128 160 164 184 205 230 256 277 320 328 368 410 460 554 640 656 736 820 920 943 1108 1280 1312 1385 1472 1640 1840 1886 2216 2624 2770 2944 3280 3680 3772 4432 4715 5248 5540 5888 6371 6560 7360 7544 8864 9430 10496 11080 11357 12742 13120 14720 15088 17728 18860 22160 22714 25484 26240 29440 30176 31855 35456 37720 44320 45428 50968 52480 56785 60352 63710 70912 75440 88640 90856 101936 113570 120704 127420 150880 177280 181712 203872 227140 241408 254840 261211 301760 354560 363424 407744 454280 509680 522422 603520 726848 815488 908560 1019360 1044844 1207040 1306055 1453696 1630976 1817120 2038720 2089688 2612110 2907392 3634240 4077440 4179376 5224220 7268480 8154880 8358752 10448440 14536960 16717504 20896880 33435008 41793760 66870016 83587520 167175040 334350080