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1291342668 = 2237211533767
BaseRepresentation
bin100110011111000…
…0101001101001100
310022222220000010020
41030332011031030
510121040431133
6332045542140
744000142300
oct11476051514
93288800106
101291342668
11602a24950
12300574950
131776c65b5
14c3709d00
15785800b3
hex4cf8534c

1291342668 has 144 divisors (see below), whose sum is σ = 3896895744. Its totient is φ = 328997760.

The previous prime is 1291342649. The next prime is 1291342669. The reversal of 1291342668 is 8662431921.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1291342669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340921 + ... + 344687.

It is an arithmetic number, because the mean of its divisors is an integer number (27061776).

Almost surely, 21291342668 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 1291342668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948447872).

1291342668 is an abundant number, since it is smaller than the sum of its proper divisors (2605553076).

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

1291342668 is a wasteful number, since it uses less digits than its factorization.

1291342668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3852 (or 3843 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 1291342668 is about 35935.2566151962. The cubic root of 1291342668 is about 1088.9647798202.

The spelling of 1291342668 in words is "one billion, two hundred ninety-one million, three hundred forty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 53 66 77 84 98 106 132 147 154 159 196 212 231 294 308 318 371 462 539 583 588 636 742 924 1078 1113 1166 1484 1617 1749 2156 2226 2332 2597 3234 3498 3767 4081 4452 5194 6468 6996 7534 7791 8162 10388 11301 12243 15068 15582 16324 22602 24486 26369 28567 31164 41437 45204 48972 52738 57134 79107 82874 85701 105476 114268 124311 158214 165748 171402 184583 199651 248622 290059 316428 342804 369166 399302 497244 553749 580118 598953 738332 798604 870177 1107498 1160236 1197906 1397557 1740354 2030413 2196161 2214996 2395812 2795114 3480708 4060826 4192671 4392322 5590228 6091239 6588483 8121652 8385342 8784644 9782899 12182478 13176966 15373127 16770684 19565798 24364956 26353932 29348697 30746254 39131596 46119381 58697394 61492508 92238762 107611889 117394788 184477524 215223778 322835667 430447556 645671334 1291342668