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2731276340 = 22513101104009
BaseRepresentation
bin1010001011001011…
…1111100000110100
321001100101012202222
42202302333200310
521043201320330
61131004421512
7124453315532
oct24262774064
97040335688
102731276340
111181809381
12642847898
13346b17660
141bca55152
1510ebb20e5
hexa2cbf834

2731276340 has 48 divisors (see below), whose sum is σ = 6238103760. Its totient is φ = 998476800.

The previous prime is 2731276337. The next prime is 2731276343. The reversal of 2731276340 is 436721372.

2731276340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2731276337) and next prime (2731276343).

It can be written as a sum of positive squares in 8 ways, for example, as 166461604 + 2564814736 = 12902^2 + 50644^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2731276340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2731276343) 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, 25745 + ... + 78264.

It is an arithmetic number, because the mean of its divisors is an integer number (129960495).

Almost surely, 22731276340 is an apocalyptic number.

2731276340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2731276340 is an abundant number, since it is smaller than the sum of its proper divisors (3506827420).

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

2731276340 is a wasteful number, since it uses less digits than its factorization.

2731276340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104132 (or 104130 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 2731276340 is about 52261.6144029248. The cubic root of 2731276340 is about 1397.8327590236.

The spelling of 2731276340 in words is "two billion, seven hundred thirty-one million, two hundred seventy-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2626 5252 6565 13130 26260 104009 208018 416036 520045 1040090 1352117 2080180 2704234 5408468 6760585 10504909 13521170 21009818 27042340 42019636 52524545 105049090 136563817 210098180 273127634 546255268 682819085 1365638170 2731276340