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1343142600 = 233522238571
BaseRepresentation
bin101000000001110…
…1011101011001000
310110121100201021020
41100003223223020
510222321030400
6341140112440
745166344432
oct12003535310
93417321236
101343142600
1162a194a08
12315995720
13185362047
14ca551652
157cdb32a0
hex500ebac8

1343142600 has 48 divisors (see below), whose sum is σ = 4163743920. Its totient is φ = 358171200.

The previous prime is 1343142599. The next prime is 1343142601. The reversal of 1343142600 is 62413431.

It is an interprime number because it is at equal distance from previous prime (1343142599) and next prime (1343142601).

It is a super-3 number, since 3×13431426003 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1343142601) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1118686 + ... + 1119885.

It is an arithmetic number, because the mean of its divisors is an integer number (86744665).

Almost surely, 21343142600 is an apocalyptic number.

1343142600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1343142600 is an abundant number, since it is smaller than the sum of its proper divisors (2820601320).

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

1343142600 is a wasteful number, since it uses less digits than its factorization.

1343142600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238590 (or 2238581 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1343142600 is about 36648.9099428619. The cubic root of 1343142600 is about 1103.3349478552.

The spelling of 1343142600 in words is "one billion, three hundred forty-three million, one hundred forty-two thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 2238571 4477142 6715713 8954284 11192855 13431426 17908568 22385710 26862852 33578565 44771420 53725704 55964275 67157130 89542840 111928550 134314260 167892825 223857100 268628520 335785650 447714200 671571300 1343142600