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1340442240 = 27355911833
BaseRepresentation
bin100111111100101…
…1000011010000000
310110102021112001220
41033321120122000
510221123122430
6341002155040
745134366604
oct11771303200
93412245056
101340442240
11628710105
12314ab2a80
13184927bb7
14ca04b504
157ca2d110
hex4fe58680

1340442240 has 128 divisors (see below), whose sum is σ = 4345444800. Its totient is φ = 351363072.

The previous prime is 1340442227. The next prime is 1340442269. The reversal of 1340442240 is 422440431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1340442240.

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, 107364 + ... + 119196.

Almost surely, 21340442240 is an apocalyptic number.

1340442240 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 1340442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172722400).

1340442240 is an abundant number, since it is smaller than the sum of its proper divisors (3005002560).

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

1340442240 is a wasteful number, since it uses less digits than its factorization.

1340442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11914 (or 11902 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1340442240 is about 36612.0504752192. The cubic root of 1340442240 is about 1102.5950411946.

Adding to 1340442240 its reverse (422440431), we get a palindrome (1762882671).

The spelling of 1340442240 in words is "one billion, three hundred forty million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 64 80 96 118 120 128 160 177 192 236 240 295 320 354 384 472 480 590 640 708 885 944 960 1180 1416 1770 1888 1920 2360 2832 3540 3776 4720 5664 7080 7552 9440 11328 11833 14160 18880 22656 23666 28320 35499 37760 47332 56640 59165 70998 94664 113280 118330 141996 177495 189328 236660 283992 354990 378656 473320 567984 698147 709980 757312 946640 1135968 1396294 1419960 1514624 1893280 2094441 2271936 2792588 2839920 3490735 3786560 4188882 4543872 5585176 5679840 6981470 7573120 8377764 10472205 11170352 11359680 13962940 16755528 20944410 22340704 22719360 27925880 33511056 41888820 44681408 55851760 67022112 83777640 89362816 111703520 134044224 167555280 223407040 268088448 335110560 446814080 670221120 1340442240