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1340658225 = 325224412
BaseRepresentation
bin100111111101000…
…1101001000110001
310110102200111100100
41033322031020301
510221202030400
6341010543013
745136256364
oct11772151061
93412614310
101340658225
11628848405
12314b97a69
131849a22ba
14ca0a60db
157ca72100
hex4fe8d231

1340658225 has 27 divisors (see below), whose sum is σ = 2402251969. Its totient is φ = 714724800.

The previous prime is 1340658217. The next prime is 1340658227. The reversal of 1340658225 is 5228560431.

The square root of 1340658225 is 36615.

It is a perfect power (a square), and thus also a powerful number.

1340658225 is a `hidden beast` number, since 13 + 40 + 6 + 582 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 441378081 + 899280144 = 21009^2 + 29988^2 .

It is not a de Polignac number, because 1340658225 - 23 = 1340658217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1340658225.

It is not an unprimeable number, because it can be changed into a prime (1340658227) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 548005 + ... + 550445.

Almost surely, 21340658225 is an apocalyptic number.

1340658225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1340658225 is the 36615-th square number.

1340658225 is the 18308-th centered octagonal number.

It is an amenable number.

1340658225 is a deficient number, since it is larger than the sum of its proper divisors (1061593744).

1340658225 is an frugal number, since it uses more digits than its factorization.

1340658225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4898 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The cubic root of 1340658225 is about 1102.6542582682.

Multiplying 1340658225 by its sum of digits (36), we get a square (48263696100 = 2196902).

Multiplying 1340658225 by its product of nonzero digits (57600), we get a square (77221913760000 = 87876002).

It can be divided in two parts, 13406 and 58225, that added together give a triangular number (71631 = T378).

The spelling of 1340658225 in words is "one billion, three hundred forty million, six hundred fifty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 2441 7323 12205 21969 36615 61025 109845 183075 549225 5958481 17875443 29792405 53626329 89377215 148962025 268131645 446886075 1340658225