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334334720 = 285269971
BaseRepresentation
bin10011111011011…
…000101100000000
3212022002222000102
4103323120230000
51141042202340
653101541532
711166540536
oct2373305400
9768088012
10334334720
111617a5695
1293b748a8
135435cac5
1432590156
151e542215
hex13ed8b00

334334720 has 72 divisors (see below), whose sum is σ = 804641040. Its totient is φ = 133099520.

The previous prime is 334334713. The next prime is 334334723. The reversal of 334334720 is 27433433.

It is a super-2 number, since 2×3343347202 = 223559409994956800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334334723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343835 + ... + 344805.

It is an arithmetic number, because the mean of its divisors is an integer number (11175570).

Almost surely, 2334334720 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 334334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402320520).

334334720 is an abundant number, since it is smaller than the sum of its proper divisors (470306320).

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

334334720 is an equidigital number, since it uses as much as digits as its factorization.

334334720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 29.

The square root of 334334720 is about 18284.8221210927. The cubic root of 334334720 is about 694.0549029585.

The spelling of 334334720 in words is "three hundred thirty-four million, three hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 269 320 538 640 971 1076 1280 1345 1942 2152 2690 3884 4304 4855 5380 7768 8608 9710 10760 15536 17216 19420 21520 31072 34432 38840 43040 62144 68864 77680 86080 124288 155360 172160 248576 261199 310720 344320 522398 621440 1044796 1242880 1305995 2089592 2611990 4179184 5223980 8358368 10447960 16716736 20895920 33433472 41791840 66866944 83583680 167167360 334334720