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3042312 = 2337213199
BaseRepresentation
bin1011100110110000001000
312201120021020
423212300020
51234323222
6145112440
734600500
oct13466010
95646236
103042312
111798809
121028720
138269b0
14592a00
1540165c
hex2e6c08

3042312 has 96 divisors (see below), whose sum is σ = 9576000. Its totient is φ = 798336.

The previous prime is 3042307. The next prime is 3042317. The reversal of 3042312 is 2132403.

It is an interprime number because it is at equal distance from previous prime (3042307) and next prime (3042317).

It is a junction number, because it is equal to n+sod(n) for n = 3042291 and 3042300.

It is not an unprimeable number, because it can be changed into a prime (3042317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15189 + ... + 15387.

It is an arithmetic number, because the mean of its divisors is an integer number (99750).

Almost surely, 23042312 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 3042312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788000).

3042312 is an abundant number, since it is smaller than the sum of its proper divisors (6533688).

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

3042312 is a wasteful number, since it uses less digits than its factorization.

3042312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3042312 is about 1744.2224628757. Note that the first 3 decimals coincide. The cubic root of 3042312 is about 144.8998436368.

Adding to 3042312 its reverse (2132403), we get a palindrome (5174715).

Subtracting from 3042312 its reverse (2132403), we obtain a palindrome (909909).

The spelling of 3042312 in words is "three million, forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 199 273 294 312 364 392 398 546 588 597 637 728 796 1092 1176 1194 1274 1393 1592 1911 2184 2388 2548 2587 2786 3822 4179 4776 5096 5174 5572 7644 7761 8358 9751 10348 11144 15288 15522 16716 18109 19502 20696 29253 31044 33432 36218 39004 54327 58506 62088 72436 78008 108654 117012 126763 144872 217308 234024 253526 380289 434616 507052 760578 1014104 1521156 3042312