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334996288 = 261117231217
BaseRepresentation
bin10011111101111…
…010001101000000
3212100100120111221
4103331322031000
51141224340123
653124044424
711205264364
oct2375721500
9770316457
10334996288
11162107740
1294233714
1354531c73
14326c32a4
151e62325d
hex13f7a340

334996288 has 112 divisors (see below), whose sum is σ = 801892224. Its totient is φ = 136970240.

The previous prime is 334996279. The next prime is 334996301. The reversal of 334996288 is 882699433.

It is a super-2 number, since 2×3349962882 = 224445025947557888, 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, 274656 + ... + 275872.

It is an arithmetic number, because the mean of its divisors is an integer number (7159752).

Almost surely, 2334996288 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 334996288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400946112).

334996288 is an abundant number, since it is smaller than the sum of its proper divisors (466895936).

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

334996288 is a wasteful number, since it uses less digits than its factorization.

334996288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1270 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 52.

The square root of 334996288 is about 18302.9038133297. The cubic root of 334996288 is about 694.5123905803.

The spelling of 334996288 in words is "three hundred thirty-four million, nine hundred ninety-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 17 22 23 32 34 44 46 64 68 88 92 136 176 184 187 253 272 352 368 374 391 506 544 704 736 748 782 1012 1088 1217 1472 1496 1564 2024 2434 2992 3128 4048 4301 4868 5984 6256 8096 8602 9736 11968 12512 13387 16192 17204 19472 20689 25024 26774 27991 34408 38944 41378 53548 55982 68816 77888 82756 107096 111964 137632 165512 214192 223928 227579 275264 307901 331024 428384 447856 455158 475847 615802 662048 856768 895712 910316 951694 1231604 1324096 1791424 1820632 1903388 2463208 3641264 3806776 4926416 5234317 7282528 7613552 9852832 10468634 14565056 15227104 19705664 20937268 30454208 41874536 83749072 167498144 334996288