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1308042816 = 26379831039
BaseRepresentation
bin100110111110111…
…0010011001000000
310101011022110102020
41031331302121000
510134324332231
6333443521440
744262115623
oct11575623100
93334273366
101308042816
116113a0a23
12306089280
1317acc2a42
14c5a15dba
1579c7d396
hex4df72640

1308042816 has 112 divisors (see below), whose sum is σ = 3550310400. Its totient is φ = 424899072.

The previous prime is 1308042787. The next prime is 1308042817. The reversal of 1308042816 is 6182408031.

It is not an unprimeable number, because it can be changed into a prime (1308042817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1258425 + ... + 1259463.

It is an arithmetic number, because the mean of its divisors is an integer number (31699200).

Almost surely, 21308042816 is an apocalyptic number.

1308042816 is a gapful number since it is divisible by the number (16) 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 1308042816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775155200).

1308042816 is an abundant number, since it is smaller than the sum of its proper divisors (2242267584).

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

1308042816 is a wasteful number, since it uses less digits than its factorization.

1308042816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1308042816 is about 36166.8745677588. The cubic root of 1308042816 is about 1093.6389937911.

The spelling of 1308042816 in words is "one billion, three hundred eight million, forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 83 96 158 166 192 237 249 316 332 474 498 632 664 948 996 1039 1264 1328 1896 1992 2078 2528 2656 3117 3792 3984 4156 5056 5312 6234 6557 7584 7968 8312 12468 13114 15168 15936 16624 19671 24936 26228 33248 39342 49872 52456 66496 78684 82081 86237 99744 104912 157368 164162 172474 199488 209824 246243 258711 314736 328324 344948 419648 492486 517422 629472 656648 689896 984972 1034844 1258944 1313296 1379792 1969944 2069688 2626592 2759584 3939888 4139376 5253184 5519168 6812723 7879776 8278752 13625446 15759552 16557504 20438169 27250892 40876338 54501784 81752676 109003568 163505352 218007136 327010704 436014272 654021408 1308042816