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307731420 = 22335312593
BaseRepresentation
bin10010010101111…
…001101111011100
3210110001101011000
4102111321233130
51112234401140
650311430300
710424450103
oct2225715734
9713041130
10307731420
11148785197
1287085390
134b9a6bc9
142cc2703a
151c039a30
hex12579bdc

307731420 has 144 divisors (see below), whose sum is σ = 990934560. Its totient is φ = 79280640.

The previous prime is 307731377. The next prime is 307731439. The reversal of 307731420 is 24137703.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 518644 + ... + 519236.

It is an arithmetic number, because the mean of its divisors is an integer number (6881490).

Almost surely, 2307731420 is an apocalyptic number.

307731420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307731420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495467280).

307731420 is an abundant number, since it is smaller than the sum of its proper divisors (683203140).

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

307731420 is a wasteful number, since it uses less digits than its factorization.

307731420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 307731420 is about 17542.2752230148. The cubic root of 307731420 is about 675.1349853497.

The spelling of 307731420 in words is "three hundred seven million, seven hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 593 620 837 930 961 1116 1186 1395 1674 1779 1860 1922 2372 2790 2883 2965 3348 3558 3844 4185 4805 5337 5580 5766 5930 7116 8370 8649 8895 9610 10674 11532 11860 14415 16011 16740 17298 17790 18383 19220 21348 25947 26685 28830 32022 34596 35580 36766 43245 51894 53370 55149 57660 64044 73532 80055 86490 91915 103788 106740 110298 129735 160110 165447 172980 183830 220596 259470 275745 320220 330894 367660 496341 518940 551490 569873 661788 827235 992682 1102980 1139746 1654470 1709619 1985364 2279492 2481705 2849365 3308940 3419238 4963410 5128857 5698730 6838476 8548095 9926820 10257714 11397460 15386571 17096190 20515428 25644285 30773142 34192380 51288570 61546284 76932855 102577140 153865710 307731420