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1361304 = 233273773
BaseRepresentation
bin101001100010110011000
32120011100200
411030112120
5322030204
645102200
714366550
oct5142630
92504320
101361304
1184a84a
12557960
13388809
14276160
151bd539
hex14c598

1361304 has 96 divisors (see below), whose sum is σ = 4386720. Its totient is φ = 373248.

The previous prime is 1361299. The next prime is 1361317. The reversal of 1361304 is 4031631.

1361304 = T197 + T198 + ... + T250.

1361304 is a `hidden beast` number, since 1 + 361 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18612 + ... + 18684.

It is an arithmetic number, because the mean of its divisors is an integer number (45695).

21361304 is an apocalyptic number.

1361304 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 1361304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193360).

1361304 is an abundant number, since it is smaller than the sum of its proper divisors (3025416).

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

1361304 is a wasteful number, since it uses less digits than its factorization.

1361304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1361304 is about 1166.7493304048. The cubic root of 1361304 is about 110.8285641882.

Adding to 1361304 its reverse (4031631), we get a palindrome (5392935).

The spelling of 1361304 in words is "one million, three hundred sixty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 56 63 72 73 74 84 111 126 146 148 168 219 222 252 259 292 296 333 438 444 504 511 518 584 657 666 777 876 888 1022 1036 1314 1332 1533 1554 1752 2044 2072 2331 2628 2664 2701 3066 3108 4088 4599 4662 5256 5402 6132 6216 8103 9198 9324 10804 12264 16206 18396 18648 18907 21608 24309 32412 36792 37814 48618 56721 64824 75628 97236 113442 151256 170163 194472 226884 340326 453768 680652 1361304