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3023431400 = 2352115923293
BaseRepresentation
bin1011010000110101…
…1110011011101000
321210201010020011202
42310031132123220
522142444301100
61220002343332
7134631512543
oct26415363350
97721106152
103023431400
111311714840
1270465ab48
133924c9782
1420978585a
1512a6717d5
hexb435e6e8

3023431400 has 96 divisors (see below), whose sum is σ = 7798831200. Its totient is φ = 1080748800.

The previous prime is 3023431393. The next prime is 3023431403. The reversal of 3023431400 is 41343203.

It is a super-2 number, since 2×30234314002 = 18282274861011920000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3023431403) 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 23 ways as a sum of consecutive naturals, for example, 118154 + ... + 141446.

It is an arithmetic number, because the mean of its divisors is an integer number (81237825).

Almost surely, 23023431400 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 3023431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899415600).

3023431400 is an abundant number, since it is smaller than the sum of its proper divisors (4775399800).

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

3023431400 is a wasteful number, since it uses less digits than its factorization.

3023431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23379 (or 23370 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3023431400 is about 54985.7381509060. The cubic root of 3023431400 is about 1445.9947174474.

Adding to 3023431400 its reverse (41343203), we get a palindrome (3064774603).

The spelling of 3023431400 in words is "three billion, twenty-three million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 59 88 100 110 118 200 220 236 275 295 440 472 550 590 649 1100 1180 1298 1475 2200 2360 2596 2950 3245 5192 5900 6490 11800 12980 16225 23293 25960 32450 46586 64900 93172 116465 129800 186344 232930 256223 465860 512446 582325 931720 1024892 1164650 1281115 1374287 2049784 2329300 2562230 2748574 4658600 5124460 5497148 6405575 6871435 10248920 10994296 12811150 13742870 15117157 25622300 27485740 30234314 34357175 51244600 54971480 60468628 68714350 75585785 120937256 137428700 151171570 274857400 302343140 377928925 604686280 755857850 1511715700 3023431400