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1340106210 = 232588716787
BaseRepresentation
bin100111111100000…
…0110010111100010
310110101122110010100
41033320012113202
510221031344320
6340551043230
745131500122
oct11770062742
93411573110
101340106210
116285006a3
12314970516
1318483ac71
14c9da0c82
157c9b3790
hex4fe065e2

1340106210 has 48 divisors (see below), whose sum is σ = 3488412096. Its totient is φ = 356937504.

The previous prime is 1340106169. The next prime is 1340106217. The reversal of 1340106210 is 126010431.

It is a happy number.

1340106210 is a `hidden beast` number, since 1 + 3 + 40 + 1 + 0 + 621 + 0 = 666.

1340106210 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1340106217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71437 + ... + 88223.

It is an arithmetic number, because the mean of its divisors is an integer number (72675252).

Almost surely, 21340106210 is an apocalyptic number.

1340106210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1340106210 is an abundant number, since it is smaller than the sum of its proper divisors (2148305886).

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

1340106210 is a wasteful number, since it uses less digits than its factorization.

1340106210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17687 (or 17684 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1340106210 is about 36607.4611247489. The cubic root of 1340106210 is about 1102.5028984760.

Adding to 1340106210 its reverse (126010431), we get a palindrome (1466116641).

The spelling of 1340106210 in words is "one billion, three hundred forty million, one hundred six thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 887 1774 2661 4435 5322 7983 8870 13305 15966 16787 26610 33574 39915 50361 79830 83935 100722 151083 167870 251805 302166 503610 755415 1510830 14890069 29780138 44670207 74450345 89340414 134010621 148900690 223351035 268021242 446702070 670053105 1340106210