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1340223432 = 233233137757
BaseRepresentation
bin100111111100010…
…0010111111001000
310110101212101220220
41033320202333020
510221044122212
6340553350040
745132465642
oct11770427710
93411771826
101340223432
11628580779
12314a08320
1318487c422
14c9dd1892
157c9d838c
hex4fe22fc8

1340223432 has 64 divisors (see below), whose sum is σ = 3507857280. Its totient is φ = 425897472.

The previous prime is 1340223431. The next prime is 1340223433. The reversal of 1340223432 is 2343220431.

It is an interprime number because it is at equal distance from previous prime (1340223431) and next prime (1340223433).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1340223431) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 168898 + ... + 176654.

It is an arithmetic number, because the mean of its divisors is an integer number (54810270).

Almost surely, 21340223432 is an apocalyptic number.

1340223432 is a gapful number since it is divisible by the number (12) 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 1340223432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753928640).

1340223432 is an abundant number, since it is smaller than the sum of its proper divisors (2167633848).

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

1340223432 is a wasteful number, since it uses less digits than its factorization.

1340223432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8102 (or 8098 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 1340223432 is about 36609.0621567939. The cubic root of 1340223432 is about 1102.5350436463.

Adding to 1340223432 its reverse (2343220431), we get a palindrome (3683443863).

The spelling of 1340223432 in words is "one billion, three hundred forty million, two hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 313 552 626 939 1252 1878 2504 3756 7199 7512 7757 14398 15514 21597 23271 28796 31028 43194 46542 57592 62056 86388 93084 172776 178411 186168 356822 535233 713644 1070466 1427288 2140932 2427941 4281864 4855882 7283823 9711764 14567646 19423528 29135292 55842643 58270584 111685286 167527929 223370572 335055858 446741144 670111716 1340223432