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312001424 = 24721672383
BaseRepresentation
bin10010100110001…
…100001110010000
3210202002022111022
4102212030032100
51114333021144
650543135012
710505653100
oct2246141620
9722068438
10312001424
11150131319
12885a4468
134c840637
142d619200
151c5cecee
hex1298c390

312001424 has 60 divisors (see below), whose sum is σ = 707704704. Its totient is φ = 132858432.

The previous prime is 312001411. The next prime is 312001429. The reversal of 312001424 is 424100213.

It is not an unprimeable number, because it can be changed into a prime (312001429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129737 + ... + 132119.

Almost surely, 2312001424 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 312001424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353852352).

312001424 is an abundant number, since it is smaller than the sum of its proper divisors (395703280).

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

312001424 is a wasteful number, since it uses less digits than its factorization.

312001424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 312001424 is about 17663.5620416721. The cubic root of 312001424 is about 678.2433204571.

Adding to 312001424 its reverse (424100213), we get a palindrome (736101637).

The spelling of 312001424 in words is "three hundred twelve million, one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 167 196 334 392 668 784 1169 1336 2338 2383 2672 4676 4766 8183 9352 9532 16366 16681 18704 19064 32732 33362 38128 65464 66724 116767 130928 133448 233534 266896 397961 467068 795922 934136 1591844 1868272 2785727 3183688 5571454 6367376 11142908 19500089 22285816 39000178 44571632 78000356 156000712 312001424