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334142816 = 2571978511
BaseRepresentation
bin10011111010101…
…001110101100000
3212021202012202212
4103322221311200
51141020032231
653053501252
711165111210
oct2372516540
9767665685
10334142816
11161684497
1293aa1828
13542c3657
1432540240
151e50542b
hex13ea9d60

334142816 has 48 divisors (see below), whose sum is σ = 791400960. Its totient is φ = 135665280.

The previous prime is 334142813. The next prime is 334142821. The reversal of 334142816 is 618241433.

It is a super-2 number, since 2×3341428162 = 223302842968819712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334142813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35000 + ... + 43511.

It is an arithmetic number, because the mean of its divisors is an integer number (16487520).

Almost surely, 2334142816 is an apocalyptic number.

It is an amenable number.

334142816 is an abundant number, since it is smaller than the sum of its proper divisors (457258144).

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

334142816 is a wasteful number, since it uses less digits than its factorization.

334142816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78547 (or 78539 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 334142816 is about 18279.5737368244. The cubic root of 334142816 is about 693.9220845625.

The spelling of 334142816 in words is "three hundred thirty-four million, one hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 78511 157022 314044 549577 628088 1099154 1256176 1491709 2198308 2512352 2983418 4396616 5966836 8793232 10441963 11933672 17586464 20883926 23867344 41767852 47734688 83535704 167071408 334142816