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1340103144 = 233614572003
BaseRepresentation
bin100111111100000…
…0101100111101000
310110101122021220210
41033320011213220
510221031300034
6340551021120
745131455152
oct11770054750
93411567823
101340103144
116284a9366
1231496a7a0
13184839753
14c9d9dad2
157c9b28e9
hex4fe059e8

1340103144 has 64 divisors (see below), whose sum is σ = 3414335040. Its totient is φ = 438197760.

The previous prime is 1340103133. The next prime is 1340103157. The reversal of 1340103144 is 4413010431.

1340103144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1340103144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 668047 + ... + 670049.

It is an arithmetic number, because the mean of its divisors is an integer number (53348985).

Almost surely, 21340103144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340103144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707167520).

1340103144 is an abundant number, since it is smaller than the sum of its proper divisors (2074231896).

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

1340103144 is a wasteful number, since it uses less digits than its factorization.

1340103144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1340103144 is about 36607.4192480158. The cubic root of 1340103144 is about 1102.5020576779.

Adding to 1340103144 its reverse (4413010431), we get a palindrome (5753113575).

The spelling of 1340103144 in words is "one billion, three hundred forty million, one hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 457 488 732 914 1371 1464 1828 2003 2742 3656 4006 5484 6009 8012 10968 12018 16024 24036 27877 48072 55754 83631 111508 122183 167262 223016 244366 334524 366549 488732 669048 733098 915371 977464 1466196 1830742 2746113 2932392 3661484 5492226 7322968 10984452 21968904 55837631 111675262 167512893 223350524 335025786 446701048 670051572 1340103144