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271330768 = 24376772
BaseRepresentation
bin10000001011000…
…010110111010000
3200220120000211201
4100023002313100
51023430041033
642531320544
76503162542
oct2013026720
9626500751
10271330768
1112a182905
1276a50154
13442a0767
142806d692
1518c4947d
hex102c2dd0

271330768 has 30 divisors (see below), whose sum is σ = 540710246. Its totient is φ = 131803776.

The previous prime is 271330739. The next prime is 271330777. The reversal of 271330768 is 867033172.

It can be written as a sum of positive squares in 3 ways, for example, as 255744064 + 15586704 = 15992^2 + 3948^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 400446 + ... + 401122.

Almost surely, 2271330768 is an apocalyptic number.

It is an amenable number.

271330768 is a deficient number, since it is larger than the sum of its proper divisors (269379478).

271330768 is an frugal number, since it uses more digits than its factorization.

271330768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 271330768 is about 16472.1209320476. The cubic root of 271330768 is about 647.3905385840.

Multiplying 271330768 by its sum of digits (37), we get a square (10039238416 = 1001962).

271330768 divided by its sum of digits (37) gives a square (7333264 = 27082).

The spelling of 271330768 in words is "two hundred seventy-one million, three hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 37 74 148 296 592 677 1354 2708 5416 10832 25049 50098 100196 200392 400784 458329 916658 1833316 3666632 7333264 16958173 33916346 67832692 135665384 271330768