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1396304 = 247213137
BaseRepresentation
bin101010100111001010000
32121221100222
411110321100
5324140204
645532212
714603600
oct5247120
92557328
101396304
11874078
12574068
1339b720
14284c00
151c8abe
hex154e50

1396304 has 60 divisors (see below), whose sum is σ = 3413844. Its totient is φ = 548352.

The previous prime is 1396303. The next prime is 1396327. The reversal of 1396304 is 4036931.

It can be written as a sum of positive squares in 2 ways, for example, as 490000 + 906304 = 700^2 + 952^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1396301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10124 + ... + 10260.

21396304 is an apocalyptic number.

1396304 is a gapful number since it is divisible by the number (14) 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 1396304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706922).

1396304 is an abundant number, since it is smaller than the sum of its proper divisors (2017540).

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

1396304 is a wasteful number, since it uses less digits than its factorization.

1396304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 1396304 is about 1181.6530793765. The cubic root of 1396304 is about 111.7703628227.

The spelling of 1396304 in words is "one million, three hundred ninety-six thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 137 182 196 208 274 364 392 548 637 728 784 959 1096 1274 1456 1781 1918 2192 2548 3562 3836 5096 6713 7124 7672 10192 12467 13426 14248 15344 24934 26852 28496 49868 53704 87269 99736 107408 174538 199472 349076 698152 1396304