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1341012240 = 243352326993
BaseRepresentation
bin100111111101110…
…0011100100010000
310110110100110222000
41033323203210100
510221244342430
6341022314000
745142262451
oct11773434420
93413313860
101341012240
11628a6a387
12315128900
13184a97489
14ca159128
157cae1e60
hex4fee3910

1341012240 has 160 divisors (see below), whose sum is σ = 4820048640. Its totient is φ = 342042624.

The previous prime is 1341012221. The next prime is 1341012251. The reversal of 1341012240 is 422101431.

1341012240 is a `hidden beast` number, since 1 + 3 + 410 + 12 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 36184 + ... + 63176.

It is an arithmetic number, because the mean of its divisors is an integer number (30125304).

Almost surely, 21341012240 is an apocalyptic number.

1341012240 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 1341012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410024320).

1341012240 is an abundant number, since it is smaller than the sum of its proper divisors (3479036400).

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

1341012240 is a wasteful number, since it uses less digits than its factorization.

1341012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27038 (or 27026 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1341012240 is about 36619.8339701315. The cubic root of 1341012240 is about 1102.7513055707.

Adding to 1341012240 its reverse (422101431), we get a palindrome (1763113671).

The spelling of 1341012240 in words is "one billion, three hundred forty-one million, twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 920 1035 1080 1104 1242 1380 1656 1840 2070 2160 2484 2760 3105 3312 4140 4968 5520 6210 8280 9936 12420 16560 24840 26993 49680 53986 80979 107972 134965 161958 215944 242937 269930 323916 404895 431888 485874 539860 620839 647832 728811 809790 971748 1079720 1214685 1241678 1295664 1457622 1619580 1862517 1943496 2159440 2429370 2483356 2915244 3104195 3239160 3644055 3725034 3886992 4858740 4966712 5587551 5830488 6208390 6478320 7288110 7450068 9312585 9717480 9933424 11175102 11660976 12416780 14576220 14900136 16762653 18625170 19434960 22350204 24833560 27937755 29152440 29800272 33525306 37250340 44700408 49667120 55875510 58304880 67050612 74500680 83813265 89400816 111751020 134101224 149001360 167626530 223502040 268202448 335253060 447004080 670506120 1341012240