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2692347340 = 2252321127739
BaseRepresentation
bin1010000001111001…
…1111010111001100
320221122010102020011
42200132133113030
521003220103330
61123054203004
7123501401104
oct24036372714
96848112204
102692347340
11116183a451
126317b3464
1333ba37447
141b7800204
1510b57282a
hexa079f5cc

2692347340 has 48 divisors (see below), whose sum is σ = 5927927040. Its totient is φ = 1025196480.

The previous prime is 2692347337. The next prime is 2692347349. The reversal of 2692347340 is 437432962.

It is a junction number, because it is equal to n+sod(n) for n = 2692347293 and 2692347302.

It is not an unprimeable number, because it can be changed into a prime (2692347349) 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, 83191 + ... + 110929.

It is an arithmetic number, because the mean of its divisors is an integer number (123498480).

Almost surely, 22692347340 is an apocalyptic number.

2692347340 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 2692347340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963963520).

2692347340 is an abundant number, since it is smaller than the sum of its proper divisors (3235579700).

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

2692347340 is a wasteful number, since it uses less digits than its factorization.

2692347340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27982 (or 27980 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The square root of 2692347340 is about 51887.8342195933. The cubic root of 2692347340 is about 1391.1598310857.

The spelling of 2692347340 in words is "two billion, six hundred ninety-two million, three hundred forty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 211 230 422 460 844 1055 2110 4220 4853 9706 19412 24265 27739 48530 55478 97060 110956 138695 277390 554780 637997 1275994 2551988 3189985 5852929 6379970 11705858 12759940 23411716 29264645 58529290 117058580 134617367 269234734 538469468 673086835 1346173670 2692347340