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334142514 = 232173313299
BaseRepresentation
bin10011111010101…
…001110000110010
3212021202012100200
4103322221300302
51141020030024
653053500030
711165110266
oct2372516062
9767665320
10334142514
11161684242
1293aa1616
13542c3484
14325400a6
151e5052c9
hex13ea9c32

334142514 has 48 divisors (see below), whose sum is σ = 769111200. Its totient is φ = 104480640.

The previous prime is 334142509. The next prime is 334142519. The reversal of 334142514 is 415241433.

It is a happy number.

334142514 is a `hidden beast` number, since 3 + 3 + 4 + 142 + 514 = 666.

It is an interprime number because it is at equal distance from previous prime (334142509) and next prime (334142519).

It is a super-2 number, since 2×3341425142 = 223302439324480392, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (334142519) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99637 + ... + 102935.

It is an arithmetic number, because the mean of its divisors is an integer number (16023150).

Almost surely, 2334142514 is an apocalyptic number.

334142514 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 334142514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384555600).

334142514 is an abundant number, since it is smaller than the sum of its proper divisors (434968686).

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

334142514 is a wasteful number, since it uses less digits than its factorization.

334142514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3655 (or 3652 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 334142514 is about 18279.5654762360. The cubic root of 334142514 is about 693.9218755057.

Adding to 334142514 its reverse (415241433), we get a palindrome (749383947).

The spelling of 334142514 in words is "three hundred thirty-four million, one hundred forty-two thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 331 662 993 1986 2979 3299 5627 5958 6598 9897 11254 16881 19794 29691 33762 50643 56083 59382 101286 112166 168249 336498 504747 1009494 1091969 2183938 3275907 6551814 9827721 18563473 19655442 37126946 55690419 111380838 167071257 334142514