Search a number
-
+
2763345332 = 22111931106627
BaseRepresentation
bin1010010010110101…
…0100110110110100
321010120201111011102
42210231110312310
521124404022312
61134112025232
7125323022246
oct24455246664
97116644142
102763345332
111198922280
12651532218
133506652a7
141c3002096
151128e8ec2
hexa4b54db4

2763345332 has 48 divisors (see below), whose sum is σ = 5732321280. Its totient is φ = 1151560800.

The previous prime is 2763345331. The next prime is 2763345337. The reversal of 2763345332 is 2335433672.

2763345332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2763345331) 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, 27398 + ... + 79229.

It is an arithmetic number, because the mean of its divisors is an integer number (119423360).

Almost surely, 22763345332 is an apocalyptic number.

2763345332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2763345332 is an abundant number, since it is smaller than the sum of its proper divisors (2968975948).

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

2763345332 is a wasteful number, since it uses less digits than its factorization.

2763345332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106692 (or 106690 counting only the distinct ones).

The product of its digits is 272160, while the sum is 38.

The square root of 2763345332 is about 52567.5311575501. The cubic root of 2763345332 is about 1403.2823209842.

The spelling of 2763345332 in words is "two billion, seven hundred sixty-three million, three hundred forty-five thousand, three hundred thirty-two".

Divisors: 1 2 4 11 19 22 31 38 44 62 76 124 209 341 418 589 682 836 1178 1364 2356 6479 12958 25916 106627 213254 426508 1172897 2025913 2345794 3305437 4051826 4691588 6610874 8103652 13221748 22285043 36359807 44570086 62803303 72719614 89140172 125606606 145439228 251213212 690836333 1381672666 2763345332