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1308416 = 2819269
BaseRepresentation
bin100111111011100000000
32110110210212
410333130000
5313332131
644013252
714056424
oct4773400
92413725
101308416
1181403a
12531228
1336a715
14260b84
151aca2b
hex13f700

1308416 has 36 divisors (see below), whose sum is σ = 2759400. Its totient is φ = 617472.

The previous prime is 1308413. The next prime is 1308421. The reversal of 1308416 is 6148031.

It is a junction number, because it is equal to n+sod(n) for n = 1308391 and 1308400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1308413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4730 + ... + 4998.

It is an arithmetic number, because the mean of its divisors is an integer number (76650).

21308416 is an apocalyptic number.

1308416 is a gapful number since it is divisible by the number (16) 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 1308416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379700).

1308416 is an abundant number, since it is smaller than the sum of its proper divisors (1450984).

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

1308416 is an equidigital number, since it uses as much as digits as its factorization.

1308416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1308416 is about 1143.8601313098. The cubic root of 1308416 is about 109.3742988799.

The spelling of 1308416 in words is "one million, three hundred eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 269 304 538 608 1076 1216 2152 2432 4304 4864 5111 8608 10222 17216 20444 34432 40888 68864 81776 163552 327104 654208 1308416