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2131344 = 243219241
BaseRepresentation
bin1000001000010110010000
311000021122200
420020112100
51021200334
6113403200
724054555
oct10102620
94007580
102131344
111226346
12869500
13598167
143d6a2c
152c1799
hex208590

2131344 has 90 divisors (see below), whose sum is σ = 6448806. Its totient is φ = 656640.

The previous prime is 2131321. The next prime is 2131361. The reversal of 2131344 is 4431312.

It can be written as a sum of positive squares in only one way, i.e., 1299600 + 831744 = 1140^2 + 912^2 .

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51964 + ... + 52004.

22131344 is an apocalyptic number.

2131344 is a gapful number since it is divisible by the number (24) 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 2131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3224403).

2131344 is an abundant number, since it is smaller than the sum of its proper divisors (4317462).

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

2131344 is a wasteful number, since it uses less digits than its factorization.

2131344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 65 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 2131344 is about 1459.9123261347. The cubic root of 2131344 is about 128.6918913321.

Adding to 2131344 its reverse (4431312), we get a palindrome (6562656).

Subtracting 2131344 from its reverse (4431312), we obtain a cube (2299968 = 1323).

The spelling of 2131344 in words is "two million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 41 48 57 72 76 82 114 123 144 152 164 171 228 246 304 328 342 361 369 456 492 656 684 722 738 779 912 984 1083 1368 1444 1476 1558 1968 2166 2337 2736 2888 2952 3116 3249 4332 4674 5776 5904 6232 6498 7011 8664 9348 12464 12996 14022 14801 17328 18696 25992 28044 29602 37392 44403 51984 56088 59204 88806 112176 118408 133209 177612 236816 266418 355224 532836 710448 1065672 2131344