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334741968 = 2432111731401
BaseRepresentation
bin10011111100111…
…100000111010000
3212022212122122200
4103330330013100
51141143220333
653114403200
711203155051
oct2374740720
9768778580
10334741968
11161a53660
1294130500
1354473292
1432658728
151e5c2c13
hex13f3c1d0

334741968 has 240 divisors, whose sum is σ = 1119785472. Its totient is φ = 92160000.

The previous prime is 334741921. The next prime is 334742017. The reversal of 334741968 is 869147433.

It is a super-2 number, since 2×3347419682 = 224104370281026048, 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 47 ways as a sum of consecutive naturals, for example, 834568 + ... + 834968.

Almost surely, 2334741968 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 334741968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559892736).

334741968 is an abundant number, since it is smaller than the sum of its proper divisors (785043504).

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

334741968 is a wasteful number, since it uses less digits than its factorization.

334741968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 465 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 334741968 is about 18295.9549627780. The cubic root of 334741968 is about 694.3365944959.

The spelling of 334741968 in words is "three hundred thirty-four million, seven hundred forty-one thousand, nine hundred sixty-eight".