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2303431000 = 2353131671061
BaseRepresentation
bin1000100101001011…
…1001000101011000
312221112022102022021
42021102321011120
514204134243000
61020322304224
7111036561163
oct21122710530
95845272267
102303431000
11a82254892
125434b8074
132a92a6a30
1417bcc2ada
15d734d11a
hex894b9158

2303431000 has 128 divisors (see below), whose sum is σ = 5844908160. Its totient is φ = 844608000.

The previous prime is 2303430973. The next prime is 2303431021. The reversal of 2303431000 is 1343032.

It is a super-2 number, since 2×23034310002 = 10611588743522000000, 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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2170470 + ... + 2171530.

It is an arithmetic number, because the mean of its divisors is an integer number (45663345).

Almost surely, 22303431000 is an apocalyptic number.

2303431000 is a gapful number since it is divisible by the number (20) 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 2303431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922454080).

2303431000 is an abundant number, since it is smaller than the sum of its proper divisors (3541477160).

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

2303431000 is a wasteful number, since it uses less digits than its factorization.

2303431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2303431000 is about 47994.0725506807. The cubic root of 2303431000 is about 1320.6621639508.

Adding to 2303431000 its reverse (1343032), we get a palindrome (2304774032).

The spelling of 2303431000 in words is "two billion, three hundred three million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 167 200 250 260 325 334 500 520 650 668 835 1000 1061 1300 1336 1625 1670 2122 2171 2600 3250 3340 4175 4244 4342 5305 6500 6680 8350 8488 8684 10610 10855 13000 13793 16700 17368 20875 21220 21710 26525 27586 33400 41750 42440 43420 53050 54275 55172 68965 83500 86840 106100 108550 110344 132625 137930 167000 177187 212200 217100 265250 271375 275860 344825 354374 434200 530500 542750 551720 689650 708748 885935 1061000 1085500 1379300 1417496 1724125 1771870 2171000 2303431 2758600 3448250 3543740 4429675 4606862 6896500 7087480 8859350 9213724 11517155 13793000 17718700 18427448 22148375 23034310 35437400 44296750 46068620 57585775 88593500 92137240 115171550 177187000 230343100 287928875 460686200 575857750 1151715500 2303431000