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334134216 = 233213356981
BaseRepresentation
bin10011111010100…
…111101111001000
3212021201202222100
4103322213233020
51141014243331
653053353400
711165044143
oct2372475710
9767652870
10334134216
11161678a89
1293a98860
13542bc770
143253b05a
151e502ae6
hex13ea7bc8

334134216 has 48 divisors (see below), whose sum is σ = 974560860. Its totient is φ = 102810240.

The previous prime is 334134211. The next prime is 334134217. The reversal of 334134216 is 612431433.

334134216 is a `hidden beast` number, since 33 + 413 + 4 + 216 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 311381316 + 22752900 = 17646^2 + 4770^2 .

It is a super-2 number, since 2×3341342162 = 223291348603869312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 334134216.

It is not an unprimeable number, because it can be changed into a prime (334134211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177555 + ... + 179426.

Almost surely, 2334134216 is an apocalyptic number.

334134216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

334134216 is an abundant number, since it is smaller than the sum of its proper divisors (640426644).

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

334134216 is a wasteful number, since it uses less digits than its factorization.

334134216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357006 (or 356999 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 334134216 is about 18279.3385000661. The cubic root of 334134216 is about 693.9161312387.

Adding to 334134216 its reverse (612431433), we get a palindrome (946565649).

The spelling of 334134216 in words is "three hundred thirty-four million, one hundred thirty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 356981 713962 1070943 1427924 2141886 2855848 3212829 4283772 4640753 6425658 8567544 9281506 12851316 13922259 18563012 25702632 27844518 37126024 41766777 55689036 83533554 111378072 167067108 334134216