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1361448 = 233411191
BaseRepresentation
bin101001100011000101000
32120011120000
411030120220
5322031243
645103000
714400144
oct5143050
92504500
101361448
1184a970
12557a60
133888ba
14276224
151bd5d3
hex14c628

1361448 has 80 divisors (see below), whose sum is σ = 4181760. Its totient is φ = 410400.

The previous prime is 1361443. The next prime is 1361453. The reversal of 1361448 is 8441631.

1361448 is a `hidden beast` number, since 1 + 3 + 614 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (1361443) and next prime (1361453).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1361441) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7033 + ... + 7223.

It is an arithmetic number, because the mean of its divisors is an integer number (52272).

21361448 is an apocalyptic number.

1361448 is a gapful number since it is divisible by the number (18) 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 1361448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090880).

1361448 is an abundant number, since it is smaller than the sum of its proper divisors (2820312).

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

1361448 is a wasteful number, since it uses less digits than its factorization.

1361448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1361448 is about 1166.8110386862. The cubic root of 1361448 is about 110.8324718999.

The spelling of 1361448 in words is "one million, three hundred sixty-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 191 198 216 264 297 324 382 396 573 594 648 764 792 891 1146 1188 1528 1719 1782 2101 2292 2376 3438 3564 4202 4584 5157 6303 6876 7128 8404 10314 12606 13752 15471 16808 18909 20628 25212 30942 37818 41256 50424 56727 61884 75636 113454 123768 151272 170181 226908 340362 453816 680724 1361448