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1340048448 = 26342311239
BaseRepresentation
bin100111111011111…
…1000010001000000
310110101112111220000
41033313320101000
510221023022243
6340545520000
745131136534
oct11767702100
93411474800
101340048448
11628471262
12314943000
1318481a89b
14c9d87bc4
157c9a15d3
hex4fdf8440

1340048448 has 140 divisors (see below), whose sum is σ = 4145401920. Its totient is φ = 427223808.

The previous prime is 1340048429. The next prime is 1340048453. The reversal of 1340048448 is 8448400431.

1340048448 is a `hidden beast` number, since 134 + 0 + 0 + 484 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 113613 + ... + 124851.

Almost surely, 21340048448 is an apocalyptic number.

1340048448 is a gapful number since it is divisible by the number (18) 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 1340048448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072700960).

1340048448 is an abundant number, since it is smaller than the sum of its proper divisors (2805353472).

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

1340048448 is a wasteful number, since it uses less digits than its factorization.

1340048448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11286 (or 11267 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 1340048448 is about 36606.6721787163. The cubic root of 1340048448 is about 1102.4870580183.

Adding to 1340048448 its reverse (8448400431), we get a palindrome (9788448879).

The spelling of 1340048448 in words is "one billion, three hundred forty million, forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 184 192 207 216 276 288 324 368 414 432 552 576 621 648 736 828 864 1104 1242 1296 1472 1656 1728 1863 2208 2484 2592 3312 3726 4416 4968 5184 6624 7452 9936 11239 13248 14904 19872 22478 29808 33717 39744 44956 59616 67434 89912 101151 119232 134868 179824 202302 258497 269736 303453 359648 404604 516994 539472 606906 719296 775491 809208 910359 1033988 1078944 1213812 1550982 1618416 1820718 2067976 2157888 2326473 2427624 3101964 3236832 3641436 4135952 4652946 4855248 6203928 6473664 6979419 7282872 8271904 9305892 9710496 12407856 13958838 14565744 16543808 18611784 19420992 20938257 24815712 27917676 29131488 37223568 41876514 49631424 55835352 58262976 74447136 83753028 111670704 148894272 167506056 223341408 335012112 446682816 670024224 1340048448