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306431300 = 225272232719
BaseRepresentation
bin10010010000111…
…100010101000100
3210100121022201102
4102100330111010
51111421300200
650223515232
710410423500
oct2220742504
9710538642
10306431300
11147a7740a
1286758b18
134b6401c6
142c9a9300
151bd7e6d5
hex1243c544

306431300 has 108 divisors (see below), whose sum is σ = 807448320. Its totient is φ = 100457280.

The previous prime is 306431263. The next prime is 306431303. The reversal of 306431300 is 3134603.

306431300 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

306431300 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306431303) 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 35 ways as a sum of consecutive naturals, for example, 111341 + ... + 114059.

Almost surely, 2306431300 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 306431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403724160).

306431300 is an abundant number, since it is smaller than the sum of its proper divisors (501017020).

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

306431300 is a wasteful number, since it uses less digits than its factorization.

306431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 306431300 is about 17505.1792335868. The cubic root of 306431300 is about 674.1828612134.

Adding to 306431300 its reverse (3134603), we get a palindrome (309565903).

The spelling of 306431300 in words is "three hundred six million, four hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 49 50 70 92 98 100 115 140 161 175 196 230 245 322 350 460 490 575 644 700 805 980 1127 1150 1225 1610 2254 2300 2450 2719 3220 4025 4508 4900 5438 5635 8050 10876 11270 13595 16100 19033 22540 27190 28175 38066 54380 56350 62537 67975 76132 95165 112700 125074 133231 135950 190330 250148 266462 271900 312685 380660 437759 475825 532924 625370 666155 875518 951650 1250740 1332310 1563425 1751036 1903300 2188795 2664620 3064313 3126850 3330775 4377590 6128626 6253700 6661550 8755180 10943975 12257252 13323100 15321565 21887950 30643130 43775900 61286260 76607825 153215650 306431300