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336106314 = 233192314243
BaseRepresentation
bin10100000010001…
…001001101001010
3212102102222012000
4110002021031022
51142020400224
653203531430
711220566535
oct2402111512
9772388160
10336106314
111627a5715
1294689b76
135483029b
14328d1a1c
151e7920c9
hex1408934a

336106314 has 64 divisors (see below), whose sum is σ = 820454400. Its totient is φ = 101516976.

The previous prime is 336106273. The next prime is 336106327. The reversal of 336106314 is 413601633.

336106314 is a `hidden beast` number, since 33 + 610 + 6 + 3 + 14 = 666.

It is a super-2 number, since 2×3361063142 = 225934908621333192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16477 + ... + 30719.

It is an arithmetic number, because the mean of its divisors is an integer number (12819600).

Almost surely, 2336106314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336106314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410227200).

336106314 is an abundant number, since it is smaller than the sum of its proper divisors (484348086).

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

336106314 is a wasteful number, since it uses less digits than its factorization.

336106314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14296 (or 14290 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 336106314 is about 18333.2025025635. The cubic root of 336106314 is about 695.2786447168.

Adding to 336106314 its reverse (413601633), we get a palindrome (749707947).

The spelling of 336106314 in words is "three hundred thirty-six million, one hundred six thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 114 138 171 207 342 414 437 513 621 874 1026 1242 1311 2622 3933 7866 11799 14243 23598 28486 42729 85458 128187 256374 270617 327589 384561 541234 655178 769122 811851 982767 1623702 1965534 2435553 2948301 4871106 5896602 6224191 7306659 8844903 12448382 14613318 17689806 18672573 37345146 56017719 112035438 168053157 336106314