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4312231400 = 235226980153
BaseRepresentation
bin1000000010000011…
…10110110111101000
3102010112020001102002
410001001312313220
532312412401100
61551522030132
7211601235131
oct40101666750
912115201362
104312231400
111913162304
12a041a8348
13539512919
142cc9ccc88
151a389d2d5
hex101076de8

4312231400 has 48 divisors (see below), whose sum is σ = 10063334700. Its totient is φ = 1718458880.

The previous prime is 4312231381. The next prime is 4312231411. The reversal of 4312231400 is 41322134.

It can be written as a sum of positive squares in 6 ways, for example, as 1981852324 + 2330379076 = 44518^2 + 48274^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13724 + ... + 93876.

Almost surely, 24312231400 is an apocalyptic number.

4312231400 is a gapful number since it is divisible by the number (40) 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 4312231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031667350).

4312231400 is an abundant number, since it is smaller than the sum of its proper divisors (5751103300).

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

4312231400 is a wasteful number, since it uses less digits than its factorization.

4312231400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80438 (or 80429 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4312231400 is about 65667.5825655247. The cubic root of 4312231400 is about 1627.6737237702.

Adding to 4312231400 its reverse (41322134), we get a palindrome (4353553534).

The spelling of 4312231400 in words is "four billion, three hundred twelve million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 269 538 1076 1345 2152 2690 5380 6725 10760 13450 26900 53800 80153 160306 320612 400765 641224 801530 1603060 2003825 3206120 4007650 8015300 16030600 21561157 43122314 86244628 107805785 172489256 215611570 431223140 539028925 862446280 1078057850 2156115700 4312231400