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1561344 = 28319107
BaseRepresentation
bin101111101001100000000
32221022202120
411331030000
5344430334
653244240
716162011
oct5751400
92838676
101561344
11977074
12633680
13428895
142c9008
1520c949
hex17d300

1561344 has 72 divisors (see below), whose sum is σ = 4415040. Its totient is φ = 488448.

The previous prime is 1561337. The next prime is 1561349. The reversal of 1561344 is 4431651.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1561349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14539 + ... + 14645.

It is an arithmetic number, because the mean of its divisors is an integer number (61320).

21561344 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 1561344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207520).

1561344 is an abundant number, since it is smaller than the sum of its proper divisors (2853696).

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

1561344 is a wasteful number, since it uses less digits than its factorization.

1561344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 1561344 is about 1249.5375144428. The cubic root of 1561344 is about 116.0110968377.

1561344 divided by its sum of digits (24) gives a palindrome (65056).

Adding to 1561344 its reverse (4431651), we get a palindrome (5992995).

The spelling of 1561344 in words is "one million, five hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 107 114 128 152 192 214 228 256 304 321 384 428 456 608 642 768 856 912 1216 1284 1712 1824 2033 2432 2568 3424 3648 4066 4864 5136 6099 6848 7296 8132 10272 12198 13696 14592 16264 20544 24396 27392 32528 41088 48792 65056 82176 97584 130112 195168 260224 390336 520448 780672 1561344