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1340144322 = 2311312712417
BaseRepresentation
bin100111111100000…
…1111101011000010
310110101201101101220
41033320033223002
510221034104242
6340551535510
745132016206
oct11770175302
93411641356
101340144322
116285272a0
1231498a596
1318485240a
14c9db0b06
157c9bebec
hex4fe0fac2

1340144322 has 64 divisors (see below), whose sum is σ = 3030663168. Its totient is φ = 391392000.

The previous prime is 1340144303. The next prime is 1340144341. The reversal of 1340144322 is 2234410431.

It is an interprime number because it is at equal distance from previous prime (1340144303) and next prime (1340144341).

It is a junction number, because it is equal to n+sod(n) for n = 1340144292 and 1340144301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553258 + ... + 555674.

It is an arithmetic number, because the mean of its divisors is an integer number (47354112).

Almost surely, 21340144322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340144322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515331584).

1340144322 is an abundant number, since it is smaller than the sum of its proper divisors (1690518846).

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

1340144322 is a wasteful number, since it uses less digits than its factorization.

1340144322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1340144322 is about 36607.9816706685. The cubic root of 1340144322 is about 1102.5133499342.

Adding to 1340144322 its reverse (2234410431), we get a palindrome (3574554753).

The spelling of 1340144322 in words is "one billion, three hundred forty million, one hundred forty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 271 341 542 682 813 1023 1626 2046 2417 2981 4834 5962 7251 8401 8943 14502 16802 17886 25203 26587 50406 53174 74927 79761 92411 149854 159522 184822 224781 277233 449562 554466 655007 824197 1310014 1648394 1965021 2472591 3930042 4945182 7205077 14410154 20305217 21615231 40610434 43230462 60915651 121831302 223357387 446714774 670072161 1340144322