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334311324 = 223173314951
BaseRepresentation
bin10011111011010…
…010111110011100
3212022001202220220
4103323102332130
51141040430244
653101241340
711166412404
oct2373227634
9768052826
10334311324
1116178a056
1293b63250
1354352269
1432585804
151e53a319
hex13ed2f9c

334311324 has 48 divisors (see below), whose sum is σ = 828608256. Its totient is φ = 104544000.

The previous prime is 334311281. The next prime is 334311337. The reversal of 334311324 is 423113433.

It is a super-2 number, since 2×3343113242 = 223528122709265952, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 334311294 and 334311303.

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, 65049 + ... + 69999.

It is an arithmetic number, because the mean of its divisors is an integer number (17262672).

Almost surely, 2334311324 is an apocalyptic number.

334311324 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 334311324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414304128).

334311324 is an abundant number, since it is smaller than the sum of its proper divisors (494296932).

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

334311324 is a wasteful number, since it uses less digits than its factorization.

334311324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5306 (or 5304 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 334311324 is about 18284.1823443106. The cubic root of 334311324 is about 694.0387131081.

Adding to 334311324 its reverse (423113433), we get a palindrome (757424757).

The spelling of 334311324 in words is "three hundred thirty-four million, three hundred eleven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 331 662 993 1324 1986 3972 4951 5627 9902 11254 14853 16881 19804 22508 29706 33762 59412 67524 84167 168334 252501 336668 505002 1010004 1638781 3277562 4916343 6555124 9832686 19665372 27859277 55718554 83577831 111437108 167155662 334311324