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2137344 = 28311223
BaseRepresentation
bin1000001001110100000000
311000120212220
420021310000
51021343334
6113451040
724111216
oct10116400
94016786
102137344
11122a900
12870a80
1359ab01
143d8cb6
152c3449
hex209d00

2137344 has 108 divisors (see below), whose sum is σ = 6524448. Its totient is φ = 619520.

The previous prime is 2137339. The next prime is 2137351. The reversal of 2137344 is 4437312.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92917 + ... + 92939.

22137344 is an apocalyptic number.

2137344 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 2137344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262224).

2137344 is an abundant number, since it is smaller than the sum of its proper divisors (4387104).

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

2137344 is a wasteful number, since it uses less digits than its factorization.

2137344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 39 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 2137344 is about 1461.9657998736. The cubic root of 2137344 is about 128.8125394476.

Subtracting 2137344 from its reverse (4437312), we obtain a cube (2299968 = 1323).

It can be divided in two parts, 213 and 7344, that added together give a palindrome (7557).

The spelling of 2137344 in words is "two million, one hundred thirty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 121 128 132 138 176 184 192 242 253 256 264 276 352 363 368 384 484 506 528 552 704 726 736 759 768 968 1012 1056 1104 1408 1452 1472 1518 1936 2024 2112 2208 2783 2816 2904 2944 3036 3872 4048 4224 4416 5566 5808 5888 6072 7744 8096 8349 8448 8832 11132 11616 12144 15488 16192 16698 17664 22264 23232 24288 30976 32384 33396 44528 46464 48576 64768 66792 89056 92928 97152 133584 178112 194304 267168 356224 534336 712448 1068672 2137344