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270343392 = 25311673821
BaseRepresentation
bin10000000111010…
…001110011100000
3200211200212102020
4100013101303200
51023201442032
642454221440
76461611104
oct2007216340
9624625366
10270343392
11129668aa0
1276654880
1344016207
1427c93904
1518b01b2c
hex101d1ce0

270343392 has 96 divisors (see below), whose sum is σ = 785925504. Its totient is φ = 80678400.

The previous prime is 270343361. The next prime is 270343393. The reversal of 270343392 is 293343072.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270343393) by changing a digit.

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, 68842 + ... + 72662.

It is an arithmetic number, because the mean of its divisors is an integer number (8186724).

Almost surely, 2270343392 is an apocalyptic number.

270343392 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270343392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392962752).

270343392 is an abundant number, since it is smaller than the sum of its proper divisors (515582112).

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

270343392 is a wasteful number, since it uses less digits than its factorization.

270343392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 270343392 is about 16442.1224907249. The cubic root of 270343392 is about 646.6042967209.

The spelling of 270343392 in words is "two hundred seventy million, three hundred forty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 67 88 96 132 134 176 201 264 268 352 402 528 536 737 804 1056 1072 1474 1608 2144 2211 2948 3216 3821 4422 5896 6432 7642 8844 11463 11792 15284 17688 22926 23584 30568 35376 42031 45852 61136 70752 84062 91704 122272 126093 168124 183408 252186 256007 336248 366816 504372 512014 672496 768021 1008744 1024028 1344992 1536042 2017488 2048056 2816077 3072084 4034976 4096112 5632154 6144168 8192224 8448231 11264308 12288336 16896462 22528616 24576672 33792924 45057232 67585848 90114464 135171696 270343392