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334301016 = 23374674261
BaseRepresentation
bin10011111011010…
…000011101011000
3212022001020210010
4103323100131120
51141040113031
653101121520
711166340350
oct2373203530
9768036703
10334301016
11161782335
1293b592a0
135434a66a
1432581b60
151e537246
hex13ed0758

334301016 has 64 divisors (see below), whose sum is σ = 957415680. Its totient is φ = 95287680.

The previous prime is 334300973. The next prime is 334301087. The reversal of 334301016 is 610103433.

It is a super-2 number, since 2×3343010162 = 223514338597264512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 334300983 and 334301001.

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, 76326 + ... + 80586.

It is an arithmetic number, because the mean of its divisors is an integer number (14959620).

Almost surely, 2334301016 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 334301016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478707840).

334301016 is an abundant number, since it is smaller than the sum of its proper divisors (623114664).

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

334301016 is a wasteful number, since it uses less digits than its factorization.

334301016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4744 (or 4740 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 334301016 is about 18283.9004591471. The cubic root of 334301016 is about 694.0315798124.

Adding to 334301016 its reverse (610103433), we get a palindrome (944404449).

The spelling of 334301016 in words is "three hundred thirty-four million, three hundred one thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 467 934 1401 1868 2802 3269 3736 4261 5604 6538 8522 9807 11208 12783 13076 17044 19614 25566 26152 29827 34088 39228 51132 59654 78456 89481 102264 119308 178962 238616 357924 715848 1989887 3979774 5969661 7959548 11939322 13929209 15919096 23878644 27858418 41787627 47757288 55716836 83575254 111433672 167150508 334301016