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1041314340 = 2235117321613
BaseRepresentation
bin111110000100010…
…011001000100100
32200120102020201210
4332010103020210
54113034024330
6251154551420
734543011603
oct7604231044
92616366653
101041314340
11494881970
12250898570
13137974041
149c423a3a
15616428b0
hex3e113224

1041314340 has 96 divisors (see below), whose sum is σ = 3224462976. Its totient is φ = 248970240.

The previous prime is 1041314327. The next prime is 1041314341. The reversal of 1041314340 is 434131401.

It is not an unprimeable number, because it can be changed into a prime (1041314341) 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, 37374 + ... + 58986.

It is an arithmetic number, because the mean of its divisors is an integer number (33588156).

Almost surely, 21041314340 is an apocalyptic number.

1041314340 is a gapful number since it is divisible by the number (10) 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 1041314340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612231488).

1041314340 is an abundant number, since it is smaller than the sum of its proper divisors (2183148636).

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

1041314340 is a wasteful number, since it uses less digits than its factorization.

1041314340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21709 (or 21707 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1041314340 is about 32269.4025355289. The cubic root of 1041314340 is about 1013.5860305367.

Adding to 1041314340 its reverse (434131401), we get a palindrome (1475445741).

It can be divided in two parts, 10413 and 14340, that added together give a triangular number (24753 = T222).

The spelling of 1041314340 in words is "one billion, forty-one million, three hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 73 110 132 146 165 219 220 292 330 365 438 660 730 803 876 1095 1460 1606 2190 2409 3212 4015 4380 4818 8030 9636 12045 16060 21613 24090 43226 48180 64839 86452 108065 129678 216130 237743 259356 324195 432260 475486 648390 713229 950972 1188715 1296780 1426458 1577749 2377430 2852916 3155498 3566145 4733247 4754860 6310996 7132290 7888745 9466494 14264580 15777490 17355239 18932988 23666235 31554980 34710478 47332470 52065717 69420956 86776195 94664940 104131434 173552390 208262868 260328585 347104780 520657170 1041314340