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1340432324 = 2271140110853
BaseRepresentation
bin100111111100101…
…0101111111000100
310110102021000110122
41033321111333010
510221122313244
6341002041112
745134325650
oct11771257704
93412230418
101340432324
11628703710
12314aa9198
1318492352a
14ca047a60
157ca2a1ee
hex4fe55fc4

1340432324 has 48 divisors (see below), whose sum is σ = 2932142976. Its totient is φ = 520896000.

The previous prime is 1340432323. The next prime is 1340432333. The reversal of 1340432324 is 4232340431.

It is a junction number, because it is equal to n+sod(n) for n = 1340432293 and 1340432302.

It is not an unprimeable number, because it can be changed into a prime (1340432323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118082 + ... + 128934.

It is an arithmetic number, because the mean of its divisors is an integer number (61086312).

Almost surely, 21340432324 is an apocalyptic number.

1340432324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340432324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466071488).

1340432324 is an abundant number, since it is smaller than the sum of its proper divisors (1591710652).

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

1340432324 is a wasteful number, since it uses less digits than its factorization.

1340432324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11276 (or 11274 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 1340432324 is about 36611.9150550746. The cubic root of 1340432324 is about 1102.5923223507.

Adding to 1340432324 its reverse (4232340431), we get a palindrome (5572772755).

The spelling of 1340432324 in words is "one billion, three hundred forty million, four hundred thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 401 802 1604 2807 4411 5614 8822 10853 11228 17644 21706 30877 43412 61754 75971 119383 123508 151942 238766 303884 477532 835681 1671362 3342724 4352053 8704106 17408212 30464371 47872583 60928742 95745166 121857484 191490332 335108081 670216162 1340432324