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1304768 = 26192937
BaseRepresentation
bin100111110100011000000
32110021210202
410332203000
5313223033
643544332
714042663
oct4764300
92407722
101304768
11811323
1252b0a8
13368b6a
1425d6da
151ab8e8
hex13e8c0

1304768 has 56 divisors (see below), whose sum is σ = 2895600. Its totient is φ = 580608.

The previous prime is 1304753. The next prime is 1304783. The reversal of 1304768 is 8674031.

It is an interprime number because it is at equal distance from previous prime (1304753) and next prime (1304783).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 1304768.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35246 + ... + 35282.

21304768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447800).

1304768 is an abundant number, since it is smaller than the sum of its proper divisors (1590832).

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

1304768 is a wasteful number, since it uses less digits than its factorization.

1304768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 1304768 is about 1142.2644177247. The cubic root of 1304768 is about 109.2725552873.

Adding to 1304768 its reverse (8674031), we get a palindrome (9978799).

The spelling of 1304768 in words is "one million, three hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 19 29 32 37 38 58 64 74 76 116 148 152 232 296 304 464 551 592 608 703 928 1073 1102 1184 1216 1406 1856 2146 2204 2368 2812 4292 4408 5624 8584 8816 11248 17168 17632 20387 22496 34336 35264 40774 44992 68672 81548 163096 326192 652384 1304768