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306431424 = 2634134547
BaseRepresentation
bin10010010000111…
…100010111000000
3210100121022220000
4102100330113000
51111421301144
650223520000
710410424035
oct2220742700
9710538800
10306431424
11147a77512
1286759000
134b640290
142c9a938c
151bd7e769
hex1243c5c0

306431424 has 140 divisors (see below), whose sum is σ = 978447624. Its totient is φ = 94265856.

The previous prime is 306431387. The next prime is 306431431. The reversal of 306431424 is 424134603.

306431424 is a `hidden beast` number, since 3 + 0 + 643 + 14 + 2 + 4 = 666.

It is a super-2 number, since 2×3064314242 = 187800435229335552, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65119 + ... + 69665.

Almost surely, 2306431424 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 306431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489223812).

306431424 is an abundant number, since it is smaller than the sum of its proper divisors (672016200).

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

306431424 is a wasteful number, since it uses less digits than its factorization.

306431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4584 (or 4565 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 306431424 is about 17505.1827753954. The cubic root of 306431424 is about 674.1829521514.

The spelling of 306431424 in words is "three hundred six million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 4547 5184 5616 7488 8424 9094 11232 13641 16848 18188 22464 27282 33696 36376 40923 54564 59111 67392 72752 81846 109128 118222 122769 145504 163692 177333 218256 236444 245538 291008 327384 354666 368307 436512 472888 491076 531999 654768 709332 736614 873024 945776 982152 1063998 1309536 1418664 1473228 1595997 1891552 1964304 2127996 2619072 2837328 2946456 3191994 3783104 3928608 4255992 4787991 5674656 5892912 6383988 7857216 8511984 9575982 11349312 11785824 12767976 17023968 19151964 23571648 25535952 34047936 38303928 51071904 76607856 102143808 153215712 306431424