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2764176340 = 225239836113
BaseRepresentation
bin1010010011000001…
…1111101111010100
321010122021201002111
42210300133233110
521130112120330
61134141520404
7125333053102
oct24460375724
97118251074
102764176340
11119933a662
12651873104
13350896603
141c317ac72
15112a1032a
hexa4c1fbd4

2764176340 has 48 divisors (see below), whose sum is σ = 6064305408. Its totient is φ = 1056349184.

The previous prime is 2764176313. The next prime is 2764176341. The reversal of 2764176340 is 436714672.

It is a junction number, because it is equal to n+sod(n) for n = 2764176293 and 2764176302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2764176341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449124 + ... + 455236.

It is an arithmetic number, because the mean of its divisors is an integer number (126339696).

Almost surely, 22764176340 is an apocalyptic number.

2764176340 is a gapful number since it is divisible by the number (20) 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 2764176340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032152704).

2764176340 is an abundant number, since it is smaller than the sum of its proper divisors (3300129068).

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

2764176340 is a wasteful number, since it uses less digits than its factorization.

2764176340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7128 (or 7126 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The square root of 2764176340 is about 52575.4347580693. The cubic root of 2764176340 is about 1403.4229744095.

The spelling of 2764176340 in words is "two billion, seven hundred sixty-four million, one hundred seventy-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 983 1966 3932 4915 6113 9830 12226 19660 22609 24452 30565 45218 61130 90436 113045 122260 140599 226090 281198 452180 562396 702995 1405990 2811980 6009079 12018158 24036316 30045395 60090790 120181580 138208817 276417634 552835268 691044085 1382088170 2764176340