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334302416 = 24717199241
BaseRepresentation
bin10011111011010…
…000110011010000
3212022001022200222
4103323100303100
51141040134131
653101132212
711166344420
oct2373206320
9768038628
10334302416
11161783398
1293b5a068
135434b1a6
1432582480
151e53787b
hex13ed0cd0

334302416 has 80 divisors (see below), whose sum is σ = 825125760. Its totient is φ = 127733760.

The previous prime is 334302407. The next prime is 334302439. The reversal of 334302416 is 614203433.

It is a happy number.

It is a super-2 number, since 2×3343024162 = 223516210686874112, 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, 31556 + ... + 40796.

It is an arithmetic number, because the mean of its divisors is an integer number (10314072).

Almost surely, 2334302416 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 334302416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412562880).

334302416 is an abundant number, since it is smaller than the sum of its proper divisors (490823344).

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

334302416 is a wasteful number, since it uses less digits than its factorization.

334302416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9292 (or 9286 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 334302416 is about 18283.9387441547. The cubic root of 334302416 is about 694.0325486427.

Adding to 334302416 its reverse (614203433), we get a palindrome (948505849).

The spelling of 334302416 in words is "three hundred thirty-four million, three hundred two thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 19 28 34 38 56 68 76 112 119 133 136 152 238 266 272 304 323 476 532 646 952 1064 1292 1904 2128 2261 2584 4522 5168 9044 9241 18088 18482 36176 36964 64687 73928 129374 147856 157097 175579 258748 314194 351158 517496 628388 702316 1034992 1099679 1229053 1256776 1404632 2199358 2458106 2513552 2809264 2984843 4398716 4916212 5969686 8797432 9832424 11939372 17594864 19664848 20893901 23878744 41787802 47757488 83575604 167151208 334302416