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1340232100 = 225229462149
BaseRepresentation
bin100111111100010…
…0101000110100100
310110101212211210221
41033320211012210
510221044411400
6340553454124
745132533134
oct11770450644
93411784727
101340232100
11628587239
12314a11344
1318488335c
14c9dd4ac4
157c9dac1a
hex4fe251a4

1340232100 has 36 divisors (see below), whose sum is σ = 3008596500. Its totient is φ = 517605760.

The previous prime is 1340232079. The next prime is 1340232133. The reversal of 1340232100 is 12320431.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 86436 + 1340145664 = 294^2 + 36608^2 .

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, 228175 + ... + 233974.

It is an arithmetic number, because the mean of its divisors is an integer number (83572125).

Almost surely, 21340232100 is an apocalyptic number.

1340232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1340232100 is an abundant number, since it is smaller than the sum of its proper divisors (1668364400).

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

1340232100 is a wasteful number, since it uses less digits than its factorization.

1340232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462192 (or 462185 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1340232100 is about 36609.1805425907. The cubic root of 1340232100 is about 1102.5374205517.

Adding to 1340232100 its reverse (12320431), we get a palindrome (1352552531).

The spelling of 1340232100 in words is "one billion, three hundred forty million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 462149 924298 1848596 2310745 4621490 9242980 11553725 13402321 23107450 26804642 46214900 53609284 67011605 134023210 268046420 335058025 670116050 1340232100