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1310340420 = 223257279669
BaseRepresentation
bin100111000011010…
…0011010101000100
310101022122012010200
41032012203111010
510140421343140
6334005050500
744320465314
oct11606432504
93338565120
101310340420
11612720174
123069b6a30
1317b61877c
14c6053444
157a084030
hex4e1a3544

1310340420 has 36 divisors (see below), whose sum is σ = 3974699820. Its totient is φ = 349424064.

The previous prime is 1310340391. The next prime is 1310340461. The reversal of 1310340420 is 240430131.

It can be written as a sum of positive squares in 2 ways, for example, as 218566656 + 1091773764 = 14784^2 + 33042^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 1310340393 and 1310340402.

It is an unprimeable number.

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, 3639655 + ... + 3640014.

Almost surely, 21310340420 is an apocalyptic number.

1310340420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310340420 is an abundant number, since it is smaller than the sum of its proper divisors (2664359400).

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

1310340420 is a wasteful number, since it uses less digits than its factorization.

1310340420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7279684 (or 7279679 counting only the distinct ones).

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

The square root of 1310340420 is about 36198.6245595050. The cubic root of 1310340420 is about 1094.2789523353.

Adding to 1310340420 its reverse (240430131), we get a palindrome (1550770551).

The spelling of 1310340420 in words is "one billion, three hundred ten million, three hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7279669 14559338 21839007 29118676 36398345 43678014 65517021 72796690 87356028 109195035 131034042 145593380 218390070 262068084 327585105 436780140 655170210 1310340420