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1340041296 = 243117273491
BaseRepresentation
bin100111111011111…
…0110100001010000
310110101112011002010
41033313312201100
510221022310141
6340545422520
745131106636
oct11767664120
93411464063
101340041296
11628466950
1231493aa40
13184817559
14c9d85356
157c99e416
hex4fdf6850

1340041296 has 80 divisors (see below), whose sum is σ = 3782757888. Its totient is φ = 405398400.

The previous prime is 1340041289. The next prime is 1340041327. The reversal of 1340041296 is 6921400431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382111 + ... + 385601.

Almost surely, 21340041296 is an apocalyptic number.

1340041296 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 1340041296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891378944).

1340041296 is an abundant number, since it is smaller than the sum of its proper divisors (2442716592).

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

1340041296 is a wasteful number, since it uses less digits than its factorization.

1340041296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240 (or 4234 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1340041296 is about 36606.5744914763. The cubic root of 1340041296 is about 1102.4850966460.

The spelling of 1340041296 in words is "one billion, three hundred forty million, forty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 727 1454 2181 2908 3491 4362 5816 6982 7997 8724 10473 11632 13964 15994 17448 20946 23991 27928 31988 34896 38401 41892 47982 55856 63976 76802 83784 95964 115203 127952 153604 167568 191928 230406 307208 383856 460812 614416 921624 1843248 2537957 5075914 7613871 10151828 15227742 20303656 27917527 30455484 40607312 55835054 60910968 83752581 111670108 121821936 167505162 223340216 335010324 446680432 670020648 1340041296