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2740332 = 22371719101
BaseRepresentation
bin1010011101000001101100
312011020000210
422131001230
51200142312
6134422420
732202210
oct12350154
95136023
102740332
111601941
12b01a10
1374c3ca
14514940
15391e3c
hex29d06c

2740332 has 96 divisors (see below), whose sum is σ = 8225280. Its totient is φ = 691200.

The previous prime is 2740319. The next prime is 2740333. The reversal of 2740332 is 2330472.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2740299 and 2740308.

It is not an unprimeable number, because it can be changed into a prime (2740333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27082 + ... + 27182.

It is an arithmetic number, because the mean of its divisors is an integer number (85680).

22740332 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 2740332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112640).

2740332 is an abundant number, since it is smaller than the sum of its proper divisors (5484948).

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

2740332 is a wasteful number, since it uses less digits than its factorization.

2740332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 2740332 is about 1655.3948169546. The cubic root of 2740332 is about 139.9375912314.

The spelling of 2740332 in words is "two million, seven hundred forty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 19 21 28 34 38 42 51 57 68 76 84 101 102 114 119 133 202 204 228 238 266 303 323 357 399 404 476 532 606 646 707 714 798 969 1212 1292 1414 1428 1596 1717 1919 1938 2121 2261 2828 3434 3838 3876 4242 4522 5151 5757 6783 6868 7676 8484 9044 10302 11514 12019 13433 13566 20604 23028 24038 26866 27132 32623 36057 40299 48076 53732 65246 72114 80598 97869 130492 144228 161196 195738 228361 391476 456722 685083 913444 1370166 2740332