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334714016 = 25713137839
BaseRepresentation
bin10011111100110…
…101010010100000
3212022211020022102
4103330311102200
51141141322031
653114025532
711203010420
oct2374652240
9768736272
10334714016
11161a3465a
12941182a8
1354463640
143264c480
151e5b97cb
hex13f354a0

334714016 has 96 divisors (see below), whose sum is σ = 817931520. Its totient is φ = 131291136.

The previous prime is 334714001. The next prime is 334714019. The reversal of 334714016 is 610417433.

It is a super-2 number, since 2×3347140162 = 224066945013696512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334714016.

It is not an unprimeable number, because it can be changed into a prime (334714019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398525 + ... + 399363.

It is an arithmetic number, because the mean of its divisors is an integer number (8520120).

Almost surely, 2334714016 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 334714016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408965760).

334714016 is an abundant number, since it is smaller than the sum of its proper divisors (483217504).

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

334714016 is a wasteful number, since it uses less digits than its factorization.

334714016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 334714016 is about 18295.1910621343. The cubic root of 334714016 is about 694.3172675331.

The spelling of 334714016 in words is "three hundred thirty-four million, seven hundred fourteen thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 137 182 208 224 274 364 416 548 728 839 959 1096 1456 1678 1781 1918 2192 2912 3356 3562 3836 4384 5873 6712 7124 7672 10907 11746 12467 13424 14248 15344 21814 23492 24934 26848 28496 30688 43628 46984 49868 56992 76349 87256 93968 99736 114943 152698 174512 187936 199472 229886 305396 349024 398944 459772 610792 804601 919544 1221584 1494259 1609202 1839088 2443168 2988518 3218404 3678176 5977036 6436808 10459813 11954072 12873616 20919626 23908144 25747232 41839252 47816288 83678504 167357008 334714016