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312414014 = 21122337241
BaseRepresentation
bin10010100111110…
…000111100111110
3210202212021110102
4102213300330332
51114434222024
651000041102
710512322013
oct2247607476
9722767412
10312414014
11150393300
1288763192
134c956383
142d6c570a
151c6621ae
hex129f0f3e

312414014 has 72 divisors (see below), whose sum is σ = 565884144. Its totient is φ = 128937600.

The previous prime is 312414007. The next prime is 312414061. The reversal of 312414014 is 410414213.

It is a super-2 number, since 2×3124140142 = 195205032287184392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 7619834 + ... + 7619874.

It is an arithmetic number, because the mean of its divisors is an integer number (7859502).

Almost surely, 2312414014 is an apocalyptic number.

312414014 is a deficient number, since it is larger than the sum of its proper divisors (253470130).

312414014 is a wasteful number, since it uses less digits than its factorization.

312414014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 312414014 is about 17675.2373109953. The cubic root of 312414014 is about 678.5421579291.

Adding to 312414014 its reverse (410414213), we get a palindrome (722828227).

The spelling of 312414014 in words is "three hundred twelve million, four hundred fourteen thousand, fourteen".

Divisors: 1 2 11 22 23 37 41 46 74 82 121 242 253 407 451 506 814 851 902 943 1369 1517 1702 1886 2738 2783 3034 4477 4961 5566 8954 9361 9922 10373 15059 16687 18722 20746 30118 31487 33374 34891 56129 62974 69782 102971 112258 114103 165649 183557 205942 228206 331298 346357 367114 383801 617419 692714 767602 1234838 1290967 2581934 3809927 4221811 6791609 7619854 8443622 13583218 14200637 28401274 156207007 312414014