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245361714 = 2313173147127
BaseRepresentation
bin11101001111111…
…10110000110010
3122002200122222220
432213332300302
51000303033324
640202541510
76036353163
oct1647766062
9562618886
10245361714
11116555984
126a207896
133baaa460
142482d76a
1516819b79
hexe9fec32

245361714 has 128 divisors (see below), whose sum is σ = 594542592. Its totient is φ = 66769920.

The previous prime is 245361709. The next prime is 245361719. The reversal of 245361714 is 417163542.

It is an interprime number because it is at equal distance from previous prime (245361709) and next prime (245361719).

Its product of digits (20160) is a multiple of the sum of its prime divisors (240).

It is not an unprimeable number, because it can be changed into a prime (245361719) 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 63 ways as a sum of consecutive naturals, for example, 1931919 + ... + 1932045.

It is an arithmetic number, because the mean of its divisors is an integer number (4644864).

Almost surely, 2245361714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245361714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297271296).

245361714 is an abundant number, since it is smaller than the sum of its proper divisors (349180878).

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

245361714 is a wasteful number, since it uses less digits than its factorization.

245361714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240.

The product of its digits is 20160, while the sum is 33.

The square root of 245361714 is about 15664.0261108056. The cubic root of 245361714 is about 626.0402635489.

The spelling of 245361714 in words is "two hundred forty-five million, three hundred sixty-one thousand, seven hundred fourteen".

Divisors: 1 2 3 6 13 17 26 31 34 39 47 51 62 78 93 94 102 127 141 186 221 254 282 381 403 442 527 611 663 762 799 806 1054 1209 1222 1326 1457 1581 1598 1651 1833 2159 2397 2418 2914 3162 3302 3666 3937 4318 4371 4794 4953 5969 6477 6851 7874 8742 9906 10387 11811 11938 12954 13702 17907 18941 20553 20774 23622 24769 28067 31161 35814 37882 41106 49538 51181 56134 56823 62322 66929 74307 77597 84201 101473 102362 113646 133858 148614 153543 155194 168402 185039 200787 202946 232791 304419 307086 321997 370078 401574 465582 555117 608838 643994 870077 965991 1110234 1319149 1740154 1931982 2405507 2610231 2638298 3145663 3957447 4811014 5220462 6291326 7216521 7914894 9436989 14433042 18873978 40893619 81787238 122680857 245361714