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312000441 = 3671552241
BaseRepresentation
bin10010100110001…
…011111110111001
3210202002021010220
4102212023332321
51114333003231
650543130253
710505650164
oct2246137671
9722067126
10312000441
11150130605
12885a3989
134c84005c
142d618adb
151c5ce896
hex1298bfb9

312000441 has 8 divisors (see below), whose sum is σ = 422209824. Its totient is φ = 204895680.

The previous prime is 312000433. The next prime is 312000499. The reversal of 312000441 is 144000213.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 312000441 - 23 = 312000433 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312000441.

It is not an unprimeable number, because it can be changed into a prime (312000041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 775920 + ... + 776321.

It is an arithmetic number, because the mean of its divisors is an integer number (52776228).

Almost surely, 2312000441 is an apocalyptic number.

It is an amenable number.

312000441 is a deficient number, since it is larger than the sum of its proper divisors (110209383).

312000441 is a wasteful number, since it uses less digits than its factorization.

312000441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552311.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 312000441 is about 17663.5342160056. The cubic root of 312000441 is about 678.2426081591.

Adding to 312000441 its reverse (144000213), we get a palindrome (456000654).

The spelling of 312000441 in words is "three hundred twelve million, four hundred forty-one", and thus it is an aban number.

Divisors: 1 3 67 201 1552241 4656723 104000147 312000441