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1340090640 = 243257265891
BaseRepresentation
bin100111111100000…
…0010100100010000
310110101121122202200
41033320002210100
510221030400030
6340550443200
745131403540
oct11770024420
93411548680
101340090640
1162849aa29
12314963500
13184833b55
14c9d99320
157c9add60
hex4fe02910

1340090640 has 120 divisors (see below), whose sum is σ = 5143414848. Its totient is φ = 306305280.

The previous prime is 1340090627. The next prime is 1340090663. The reversal of 1340090640 is 460900431.

1340090640 is a `hidden beast` number, since 13 + 4 + 0 + 0 + 9 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127906 + ... + 137985.

Almost surely, 21340090640 is an apocalyptic number.

1340090640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1340090640 is an abundant number, since it is smaller than the sum of its proper divisors (3803324208).

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

1340090640 is a wasteful number, since it uses less digits than its factorization.

1340090640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265917 (or 265908 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1340090640 is about 36607.2484625654. The cubic root of 1340090640 is about 1102.4986286561.

The spelling of 1340090640 in words is "one billion, three hundred forty million, ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 265891 531782 797673 1063564 1329455 1595346 1861237 2127128 2393019 2658910 3190692 3722474 3988365 4254256 4786038 5317820 5583711 6381384 7444948 7976730 9306185 9572076 10635640 11167422 11965095 12762768 14889896 15953460 16751133 18612370 19144152 21271280 22334844 23930190 27918555 29779792 31906920 33502266 37224740 38288304 44669688 47860380 55837110 63813840 67004532 74449480 83755665 89339376 95720760 111674220 134009064 148898960 167511330 191441520 223348440 268018128 335022660 446696880 670045320 1340090640