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1312334408 = 2371119313617
BaseRepresentation
bin100111000111000…
…1010001001001000
310101110101111101002
41032032022021020
510141424200113
6334115514132
744343441560
oct11616121110
93343344332
101312334408
116138622a0
123075b8948
1317bb66248
14c6411da0
157a329c58
hex4e38a248

1312334408 has 128 divisors (see below), whose sum is σ = 3334348800. Its totient is φ = 468633600.

The previous prime is 1312334407. The next prime is 1312334449. The reversal of 1312334408 is 8044332131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1312334407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361016 + ... + 364632.

It is an arithmetic number, because the mean of its divisors is an integer number (26049600).

Almost surely, 21312334408 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 1312334408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667174400).

1312334408 is an abundant number, since it is smaller than the sum of its proper divisors (2022014392).

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

1312334408 is a wasteful number, since it uses less digits than its factorization.

1312334408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3691 (or 3687 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 1312334408 is about 36226.1564066629. The cubic root of 1312334408 is about 1094.8337377444.

Adding to 1312334408 its reverse (8044332131), we get a palindrome (9356666539).

The spelling of 1312334408 in words is "one billion, three hundred twelve million, three hundred thirty-four thousand, four hundred eight".

Divisors: 1 2 4 7 8 11 14 19 22 28 31 38 44 56 62 76 77 88 124 133 152 154 209 217 248 266 308 341 418 434 532 589 616 682 836 868 1064 1178 1364 1463 1672 1736 2356 2387 2728 2926 3617 4123 4712 4774 5852 6479 7234 8246 9548 11704 12958 14468 16492 19096 25319 25916 28936 32984 39787 45353 50638 51832 68723 79574 90706 101276 112127 137446 159148 181412 202552 224254 274892 278509 318296 362824 448508 481061 549784 557018 755953 784889 897016 962122 1114036 1233397 1511906 1569778 1924244 2130413 2228072 2466794 3023812 3139556 3848488 4260826 4933588 5291671 6047624 6279112 8521652 8633779 9867176 10583342 14912891 17043304 17267558 21166684 23434543 29825782 34535116 42333368 46869086 59651564 69070232 93738172 119303128 164041801 187476344 328083602 656167204 1312334408