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334334104 = 2313171271489
BaseRepresentation
bin10011111011011…
…000100010011000
3212022002221011121
4103323120202120
51141042142404
653101535024
711166535666
oct2373304230
9768087147
10334334104
111617a5185
1293b74474
135435c740
143258dc36
151e541e54
hex13ed8898

334334104 has 64 divisors (see below), whose sum is σ = 720921600. Its totient is φ = 143990784.

The previous prime is 334334057. The next prime is 334334111. The reversal of 334334104 is 401433433.

It is a super-2 number, since 2×3343341042 = 223558586194965632, which contains 22 as substring.

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, 223792 + ... + 225280.

It is an arithmetic number, because the mean of its divisors is an integer number (11264400).

Almost surely, 2334334104 is an apocalyptic number.

334334104 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 334334104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360460800).

334334104 is an abundant number, since it is smaller than the sum of its proper divisors (386587496).

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

334334104 is a wasteful number, since it uses less digits than its factorization.

334334104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

The square root of 334334104 is about 18284.8052765131. The cubic root of 334334104 is about 694.0544767010.

Adding to 334334104 its reverse (401433433), we get a palindrome (735767537).

The spelling of 334334104 in words is "three hundred thirty-four million, three hundred thirty-four thousand, one hundred four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 127 136 221 254 442 508 884 1016 1489 1651 1768 2159 2978 3302 4318 5956 6604 8636 11912 13208 17272 19357 25313 28067 38714 50626 56134 77428 101252 112268 154856 189103 202504 224536 329069 378206 658138 756412 1316276 1512824 2458339 2632552 3214751 4916678 6429502 9833356 12859004 19666712 25718008 41791763 83583526 167167052 334334104