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271188340 = 225891311163
BaseRepresentation
bin10000001010100…
…000000101110100
3200220021210110121
4100022200011310
51023411011330
642524301324
76502030363
oct2012400564
9626253417
10271188340
1112a0958a5
12769a1844
1344250997
14280337da
1518c1c17a
hex102a0174

271188340 has 48 divisors (see below), whose sum is σ = 580789440. Its totient is φ = 106346240.

The previous prime is 271188317. The next prime is 271188343. The reversal of 271188340 is 43881172.

It is a happy number.

271188340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 271188296 and 271188305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271188343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232599 + ... + 233761.

It is an arithmetic number, because the mean of its divisors is an integer number (12099780).

Almost surely, 2271188340 is an apocalyptic number.

271188340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

271188340 is an abundant number, since it is smaller than the sum of its proper divisors (309601100).

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

271188340 is a wasteful number, since it uses less digits than its factorization.

271188340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 271188340 is about 16467.7970597163. The cubic root of 271188340 is about 647.2772418395.

The spelling of 271188340 in words is "two hundred seventy-one million, one hundred eighty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 89 131 178 262 356 445 524 655 890 1163 1310 1780 2326 2620 4652 5815 11630 11659 23260 23318 46636 58295 103507 116590 152353 207014 233180 304706 414028 517535 609412 761765 1035070 1523530 2070140 3047060 13559417 27118834 54237668 67797085 135594170 271188340