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334312104 = 233722711049
BaseRepresentation
bin10011111011010…
…011001010101000
3212022001210222210
4103323103022220
51141040441404
653101245120
711166414600
oct2373231250
9768053883
10334312104
1116178a6a5
1293b637a0
1354352719
1432585c00
151e53a689
hex13ed32a8

334312104 has 96 divisors (see below), whose sum is σ = 976752000. Its totient is φ = 95074560.

The previous prime is 334312103. The next prime is 334312117. The reversal of 334312104 is 401213433.

It is a super-2 number, since 2×3343121042 = 223529165761813632, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (334312103) 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, 318172 + ... + 319220.

It is an arithmetic number, because the mean of its divisors is an integer number (10174500).

Almost surely, 2334312104 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 334312104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488376000).

334312104 is an abundant number, since it is smaller than the sum of its proper divisors (642439896).

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

334312104 is a wasteful number, since it uses less digits than its factorization.

334312104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 334312104 is about 18284.2036742102. The cubic root of 334312104 is about 694.0392528742.

Adding to 334312104 its reverse (401213433), we get a palindrome (735525537).

The spelling of 334312104 in words is "three hundred thirty-four million, three hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 271 294 392 542 588 813 1049 1084 1176 1626 1897 2098 2168 3147 3252 3794 4196 5691 6294 6504 7343 7588 8392 11382 12588 13279 14686 15176 22029 22764 25176 26558 29372 39837 44058 45528 51401 53116 58744 79674 88116 102802 106232 154203 159348 176232 205604 284279 308406 318696 411208 568558 616812 852837 1137116 1233624 1705674 1989953 2274232 3411348 3979906 5969859 6822696 7959812 11939718 13929671 15919624 23879436 27859342 41789013 47758872 55718684 83578026 111437368 167156052 334312104