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335297216 = 2671113653
BaseRepresentation
bin10011111111000…
…011101011000000
3212100220212022102
4103333003223000
51141314002331
653134325532
711210656622
oct2377035300
9770825272
10335297216
111622a2841
12943598a8
1354608c27
1432760c12
151e6824cb
hex13fc3ac0

335297216 has 56 divisors (see below), whose sum is σ = 681740064. Its totient is φ = 163573760.

The previous prime is 335297203. The next prime is 335297227. The reversal of 335297216 is 612792533.

It is a super-2 number, since 2×3352972162 = 224848446114701312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 335297216.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 513146 + ... + 513798.

Almost surely, 2335297216 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 335297216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340870032).

335297216 is an abundant number, since it is smaller than the sum of its proper divisors (346442848).

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

335297216 is a wasteful number, since it uses less digits than its factorization.

335297216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 839 counting only the distinct ones).

The product of its digits is 68040, while the sum is 38.

The square root of 335297216 is about 18311.1227400179. The cubic root of 335297216 is about 694.7202890777.

The spelling of 335297216 in words is "three hundred thirty-five million, two hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 71 113 142 226 284 452 568 653 904 1136 1306 1808 2272 2612 3616 4544 5224 7232 8023 10448 16046 20896 32092 41792 46363 64184 73789 92726 128368 147578 185452 256736 295156 370904 513472 590312 741808 1180624 1483616 2361248 2967232 4722496 5239019 10478038 20956076 41912152 83824304 167648608 335297216