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299996352 = 26331271367
BaseRepresentation
bin10001111000011…
…001010011000000
3202220111101122000
4101320121103000
51103244340402
645433544000
710301632635
oct2170312300
9686441560
10299996352
11144381777
1284575000
134a1c9246
142bbb218c
151b50cc1c
hex11e194c0

299996352 has 112 divisors (see below), whose sum is σ = 889528320. Its totient is φ = 99138816.

The previous prime is 299996341. The next prime is 299996401. The reversal of 299996352 is 253699992.

299996352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2999963522 = 179995622426615808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218773 + ... + 220139.

Almost surely, 2299996352 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 299996352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444764160).

299996352 is an abundant number, since it is smaller than the sum of its proper divisors (589531968).

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

299996352 is a wasteful number, since it uses less digits than its factorization.

299996352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1499 counting only the distinct ones).

The product of its digits is 2361960, while the sum is 54.

The square root of 299996352 is about 17320.4027666795. The cubic root of 299996352 is about 669.4302366363.

The spelling of 299996352 in words is "two hundred ninety-nine million, nine hundred ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 144 192 216 254 288 381 432 508 576 762 864 1016 1143 1367 1524 1728 2032 2286 2734 3048 3429 4064 4101 4572 5468 6096 6858 8128 8202 9144 10936 12192 12303 13716 16404 18288 21872 24384 24606 27432 32808 36576 36909 43744 49212 54864 65616 73152 73818 87488 98424 109728 131232 147636 173609 196848 219456 262464 295272 347218 393696 520827 590544 694436 787392 1041654 1181088 1388872 1562481 2083308 2362176 2777744 3124962 4166616 4687443 5555488 6249924 8333232 9374886 11110976 12499848 16666464 18749772 24999696 33332928 37499544 49999392 74999088 99998784 149998176 299996352