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1340404650 = 2325213297901
BaseRepresentation
bin100111111100100…
…1111001110101010
310110102012121111200
41033321033032222
510221120422100
6341001305030
745134152164
oct11771171652
93412177450
101340404650
11628694942
12314a95176
13184913a60
14ca03b934
157ca21e00
hex4fe4f3aa

1340404650 has 144 divisors (see below), whose sum is σ = 4012477560. Its totient is φ = 318528000.

The previous prime is 1340404631. The next prime is 1340404697. The reversal of 1340404650 is 564040431.

1340404650 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 4 + 0 + 4 + 650 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 35533521 + 1304871129 = 5961^2 + 36123^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 165700 + ... + 173600.

Almost surely, 21340404650 is an apocalyptic number.

1340404650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340404650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006238780).

1340404650 is an abundant number, since it is smaller than the sum of its proper divisors (2672072910).

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

1340404650 is a wasteful number, since it uses less digits than its factorization.

1340404650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7961 (or 7953 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1340404650 is about 36611.5371160513. The cubic root of 1340404650 is about 1102.5847344133.

The spelling of 1340404650 in words is "one billion, three hundred forty million, four hundred four thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 29 30 39 45 50 58 65 75 78 87 90 117 130 145 150 174 195 225 234 261 290 325 377 390 435 450 522 585 650 725 754 870 975 1131 1170 1305 1450 1885 1950 2175 2262 2610 2925 3393 3770 4350 5655 5850 6525 6786 7901 9425 11310 13050 15802 16965 18850 23703 28275 33930 39505 47406 56550 71109 79010 84825 102713 118515 142218 169650 197525 205426 229129 237030 308139 355545 395050 458258 513565 592575 616278 687387 711090 924417 1027130 1145645 1185150 1374774 1540695 1777725 1848834 2062161 2291290 2567825 2978677 3081390 3436935 3555450 4124322 4622085 5135650 5728225 5957354 6873870 7703475 8936031 9244170 10310805 11456450 14893385 15406950 17184675 17872062 20621610 23110425 26808093 29786770 34369350 44680155 46220850 51554025 53616186 74466925 89360310 103108050 134040465 148933850 223400775 268080930 446801550 670202325 1340404650