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334768920 = 233516211721
BaseRepresentation
bin10011111101000…
…010101100011000
3212022221000121220
4103331002230120
51141200101140
653115132040
711203326453
oct2375025430
9768830556
10334768920
11161a71932
1294144020
1354482625
143266449a
151e5cabd0
hex13f42b18

334768920 has 64 divisors (see below), whose sum is σ = 1005510240. Its totient is φ = 89164800.

The previous prime is 334768897. The next prime is 334768927. The reversal of 334768920 is 29867433.

It is a super-2 number, since 2×3347689202 = 224140459595932800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334768927) 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, 193660 + ... + 195380.

Almost surely, 2334768920 is an apocalyptic number.

334768920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334768920 is an abundant number, since it is smaller than the sum of its proper divisors (670741320).

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

334768920 is a wasteful number, since it uses less digits than its factorization.

334768920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 334768920 is about 18296.6915042037. The cubic root of 334768920 is about 694.3552290059.

The spelling of 334768920 in words is "three hundred thirty-four million, seven hundred sixty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1621 1721 3242 3442 4863 5163 6484 6884 8105 8605 9726 10326 12968 13768 16210 17210 19452 20652 24315 25815 32420 34420 38904 41304 48630 51630 64840 68840 97260 103260 194520 206520 2789741 5579482 8369223 11158964 13948705 16738446 22317928 27897410 33476892 41846115 55794820 66953784 83692230 111589640 167384460 334768920