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2304540 = 2232573159
BaseRepresentation
bin1000110010101000011100
311100002020100
420302220130
51042221130
6121221100
725405530
oct10625034
94302210
102304540
111334487
12931790
13628c44
1443dbc0
15307c60
hex232a1c

2304540 has 144 divisors (see below), whose sum is σ = 8386560. Its totient is φ = 501120.

The previous prime is 2304527. The next prime is 2304541. The reversal of 2304540 is 454032.

It is a happy number.

It is a super-2 number, since 2×23045402 = 10621809223200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2304541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39031 + ... + 39089.

It is an arithmetic number, because the mean of its divisors is an integer number (58240).

22304540 is an apocalyptic number.

2304540 is a gapful number since it is divisible by the number (20) 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 2304540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193280).

2304540 is an abundant number, since it is smaller than the sum of its proper divisors (6082020).

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

2304540 is a wasteful number, since it uses less digits than its factorization.

2304540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2304540 is about 1518.0711445779. The cubic root of 2304540 is about 132.0874076724.

Adding to 2304540 its reverse (454032), we get a palindrome (2758572).

The spelling of 2304540 in words is "two million, three hundred four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 59 60 62 63 70 84 90 93 105 118 124 126 140 155 177 180 186 210 217 236 252 279 295 310 315 354 372 413 420 434 465 531 558 590 620 630 651 708 826 868 885 930 1062 1085 1116 1180 1239 1260 1302 1395 1652 1770 1829 1860 1953 2065 2124 2170 2478 2604 2655 2790 3255 3540 3658 3717 3906 4130 4340 4956 5310 5487 5580 6195 6510 7316 7434 7812 8260 9145 9765 10620 10974 12390 12803 13020 14868 16461 18290 18585 19530 21948 24780 25606 27435 32922 36580 37170 38409 39060 51212 54870 64015 65844 74340 76818 82305 109740 115227 128030 153636 164610 192045 230454 256060 329220 384090 460908 576135 768180 1152270 2304540