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334030212 = 2232172692029
BaseRepresentation
bin10011111010001…
…110010110000100
3212021112111022100
4103322032112010
51141002431322
653051232100
711164132005
oct2372162604
9767474270
10334030212
1116160792a
1293a48630
1354284319
14325111ac
151e4d1dac
hex13e8e584

334030212 has 72 divisors (see below), whose sum is σ = 897787800. Its totient is φ = 104352768.

The previous prime is 334030201. The next prime is 334030223. The reversal of 334030212 is 212030433.

It is an interprime number because it is at equal distance from previous prime (334030201) and next prime (334030223).

It can be written as a sum of positive squares in 4 ways, for example, as 114575616 + 219454596 = 10704^2 + 14814^2 .

It is a super-2 number, since 2×3340302122 = 223152365057529888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163614 + ... + 165642.

It is an arithmetic number, because the mean of its divisors is an integer number (12469275).

Almost surely, 2334030212 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 334030212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448893900).

334030212 is an abundant number, since it is smaller than the sum of its proper divisors (563757588).

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

334030212 is a wasteful number, since it uses less digits than its factorization.

334030212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 334030212 is about 18276.4934273509. The cubic root of 334030212 is about 693.8441266977.

Adding to 334030212 its reverse (212030433), we get a palindrome (546060645).

The spelling of 334030212 in words is "three hundred thirty-four million, thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 269 306 538 612 807 1076 1614 2029 2421 3228 4058 4573 4842 6087 8116 9146 9684 12174 13719 18261 18292 24348 27438 34493 36522 41157 54876 68986 73044 82314 103479 137972 164628 206958 310437 413916 545801 620874 1091602 1241748 1637403 2183204 3274806 4912209 6549612 9278617 9824418 18557234 19648836 27835851 37114468 55671702 83507553 111343404 167015106 334030212