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334402104 = 233174391867
BaseRepresentation
bin10011111011101…
…001001000111000
3212022020101110010
4103323221020320
51141101331404
653103221520
711200241151
oct2373511070
9768211403
10334402104
11161841283
1293ba78a0
135438468a
14325aa928
151e557189
hex13ee9238

334402104 has 64 divisors (see below), whose sum is σ = 887673600. Its totient is φ = 104615424.

The previous prime is 334402093. The next prime is 334402111. The reversal of 334402104 is 401204433.

It is a super-3 number, since 3×3344021043 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178179 + ... + 180045.

It is an arithmetic number, because the mean of its divisors is an integer number (13869900).

Almost surely, 2334402104 is an apocalyptic number.

334402104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334402104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443836800).

334402104 is an abundant number, since it is smaller than the sum of its proper divisors (553271496).

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

334402104 is a wasteful number, since it uses less digits than its factorization.

334402104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 334402104 is about 18286.6646494105. The cubic root of 334402104 is about 694.1015279435.

Adding to 334402104 its reverse (401204433), we get a palindrome (735606537).

The spelling of 334402104 in words is "three hundred thirty-four million, four hundred two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 439 878 1317 1756 1867 2634 3512 3734 5268 5601 7463 7468 10536 11202 14926 14936 22389 22404 29852 31739 44778 44808 59704 63478 89556 95217 126956 179112 190434 253912 380868 761736 819613 1639226 2458839 3278452 4917678 6556904 9835356 13933421 19670712 27866842 41800263 55733684 83600526 111467368 167201052 334402104