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343353216 = 27317149353
BaseRepresentation
bin10100011101110…
…010011110000000
3212221002011001210
4110131302132000
51200344300331
654023130120
711336311533
oct2435623600
9787064053
10343353216
111668a5398
1296ba3940
13561999ab
143385aa1a
1520224446
hex14772780

343353216 has 128 divisors (see below), whose sum is σ = 974916000. Its totient is φ = 106692608.

The previous prime is 343353203. The next prime is 343353217. The reversal of 343353216 is 612353343.

343353216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343353217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 972496 + ... + 972848.

Almost surely, 2343353216 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 343353216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487458000).

343353216 is an abundant number, since it is smaller than the sum of its proper divisors (631562784).

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

343353216 is a wasteful number, since it uses less digits than its factorization.

343353216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 524 counting only the distinct ones).

The product of its digits is 19440, while the sum is 30.

The square root of 343353216 is about 18529.7926593904. The cubic root of 343353216 is about 700.2402005605.

The spelling of 343353216 in words is "three hundred forty-three million, three hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 149 192 204 272 298 353 384 408 447 544 596 706 816 894 1059 1088 1192 1412 1632 1788 2118 2176 2384 2533 2824 3264 3576 4236 4768 5066 5648 6001 6528 7152 7599 8472 9536 10132 11296 12002 14304 15198 16944 18003 19072 20264 22592 24004 28608 30396 33888 36006 40528 45184 48008 52597 57216 60792 67776 72012 81056 96016 105194 121584 135552 144024 157791 162112 192032 210388 243168 288048 315582 324224 384064 420776 486336 576096 631164 768128 841552 894149 972672 1152192 1262328 1683104 1788298 2304384 2524656 2682447 3366208 3576596 5049312 5364894 6732416 7153192 10098624 10729788 14306384 20197248 21459576 28612768 42919152 57225536 85838304 114451072 171676608 343353216