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1412303400 = 2332523892017
BaseRepresentation
bin101010000101110…
…0000101000101000
310122102111110001100
41110023200220220
510343022202100
6352050321400
746666244424
oct12413405050
93572443040
101412303400
116652324a2
12334b89260
131967988b1
14d57d5b84
1583ec5400
hex542e0a28

1412303400 has 144 divisors (see below), whose sum is σ = 4757535900. Its totient is φ = 375459840.

The previous prime is 1412303381. The next prime is 1412303401. The reversal of 1412303400 is 43032141.

It can be written as a sum of positive squares in 6 ways, for example, as 579750084 + 832553316 = 24078^2 + 28854^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1412303401) 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, 699192 + ... + 701208.

Almost surely, 21412303400 is an apocalyptic number.

1412303400 is a gapful number since it is divisible by the number (10) 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 1412303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378767950).

1412303400 is an abundant number, since it is smaller than the sum of its proper divisors (3345232500).

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

1412303400 is a wasteful number, since it uses less digits than its factorization.

1412303400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1412303400 is about 37580.6253274210. The cubic root of 1412303400 is about 1121.9564549812.

Adding to 1412303400 its reverse (43032141), we get a palindrome (1455335541).

The spelling of 1412303400 in words is "one billion, four hundred twelve million, three hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 389 450 600 778 900 1167 1556 1800 1945 2017 2334 3112 3501 3890 4034 4668 5835 6051 7002 7780 8068 9336 9725 10085 11670 12102 14004 15560 16136 17505 18153 19450 20170 23340 24204 28008 29175 30255 35010 36306 38900 40340 46680 48408 50425 58350 60510 70020 72612 77800 80680 87525 90765 100850 116700 121020 140040 145224 151275 175050 181530 201700 233400 242040 302550 350100 363060 403400 453825 605100 700200 726120 784613 907650 1210200 1569226 1815300 2353839 3138452 3630600 3923065 4707678 6276904 7061517 7846130 9415356 11769195 14123034 15692260 18830712 19615325 23538390 28246068 31384520 35307585 39230650 47076780 56492136 58845975 70615170 78461300 94153560 117691950 141230340 156922600 176537925 235383900 282460680 353075850 470767800 706151700 1412303400