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1340361840 = 2435191931523
BaseRepresentation
bin100111111100100…
…0100110001110000
310110102010102210010
41033321010301300
510221113034330
6341000334520
745133613316
oct11771046160
93412112703
101340361840
11628665764
12314a74440
131848ca41c
14ca02a0b6
157ca143b0
hex4fe44c70

1340361840 has 160 divisors (see below), whose sum is σ = 4399361280. Its totient is φ = 336642048.

The previous prime is 1340361829. The next prime is 1340361871. The reversal of 1340361840 is 481630431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1340361798 and 1340361807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 879319 + ... + 880841.

It is an arithmetic number, because the mean of its divisors is an integer number (27496008).

Almost surely, 21340361840 is an apocalyptic number.

1340361840 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 1340361840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199680640).

1340361840 is an abundant number, since it is smaller than the sum of its proper divisors (3058999440).

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

1340361840 is a wasteful number, since it uses less digits than its factorization.

1340361840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1340361840 is about 36610.9524596124. The cubic root of 1340361840 is about 1102.5729961284.

The spelling of 1340361840 in words is "one billion, three hundred forty million, three hundred sixty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 193 228 240 285 304 380 386 456 570 579 760 772 912 965 1140 1158 1520 1523 1544 1930 2280 2316 2895 3046 3088 3667 3860 4560 4569 4632 5790 6092 7334 7615 7720 9138 9264 11001 11580 12184 14668 15230 15440 18276 18335 22002 22845 23160 24368 28937 29336 30460 36552 36670 44004 45690 46320 55005 57874 58672 60920 73104 73340 86811 88008 91380 110010 115748 121840 144685 146680 173622 176016 182760 220020 231496 289370 293360 293939 347244 365520 434055 440040 462992 578740 587878 694488 868110 880080 881817 1157480 1175756 1388976 1469695 1736220 1763634 2314960 2351512 2939390 3472440 3527268 4409085 4703024 5584841 5878780 6944880 7054536 8818170 11169682 11757560 14109072 16754523 17636340 22339364 23515120 27924205 33509046 35272680 44678728 55848410 67018092 70545360 83772615 89357456 111696820 134036184 167545230 223393640 268072368 335090460 446787280 670180920 1340361840