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1340287440 = 243513740763
BaseRepresentation
bin100111111100011…
…0010100111010000
310110101222122201120
41033320302213100
510221103144230
6340555002240
745133153362
oct11770624720
93411878646
101340287440
11628614878
12314a39380
131848a25bb
14ca00ad32
157c9ec310
hex4fe329d0

1340287440 has 80 divisors (see below), whose sum is σ = 4185321408. Its totient is φ = 354792448.

The previous prime is 1340287439. The next prime is 1340287451. The reversal of 1340287440 is 447820431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12499 + ... + 53261.

Almost surely, 21340287440 is an apocalyptic number.

1340287440 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 1340287440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092660704).

1340287440 is an abundant number, since it is smaller than the sum of its proper divisors (2845033968).

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

1340287440 is a wasteful number, since it uses less digits than its factorization.

1340287440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40916 (or 40910 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 1340287440 is about 36609.9363561315. The cubic root of 1340287440 is about 1102.5525954310.

The spelling of 1340287440 in words is "one billion, three hundred forty million, two hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 137 240 274 411 548 685 822 1096 1370 1644 2055 2192 2740 3288 4110 5480 6576 8220 10960 16440 32880 40763 81526 122289 163052 203815 244578 326104 407630 489156 611445 652208 815260 978312 1222890 1630520 1956624 2445780 3261040 4891560 5584531 9783120 11169062 16753593 22338124 27922655 33507186 44676248 55845310 67014372 83767965 89352496 111690620 134028744 167535930 223381240 268057488 335071860 446762480 670143720 1340287440