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10340302340 = 2253122332309
BaseRepresentation
bin10011010000101010…
…00111111000000100
3222200122002210011202
421220111013320010
5132134104133330
64430020322032
7514146056024
oct115025077004
928618083152
1010340302340
114426916215
122006b43318
13c8a3595c4
14701427a84
15407bcd445
hex268547e04

10340302340 has 72 divisors (see below), whose sum is σ = 22543761240. Its totient is φ = 3983792640.

The previous prime is 10340302339. The next prime is 10340302367. The reversal of 10340302340 is 4320304301.

It can be written as a sum of positive squares in 4 ways, for example, as 1188318784 + 9151983556 = 34472^2 + 95666^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 4477106 + ... + 4479414.

It is an arithmetic number, because the mean of its divisors is an integer number (313107795).

Almost surely, 210340302340 is an apocalyptic number.

10340302340 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 10340302340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11271880620).

10340302340 is an abundant number, since it is smaller than the sum of its proper divisors (12203458900).

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

10340302340 is a wasteful number, since it uses less digits than its factorization.

10340302340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 10340302340 its reverse (4320304301), we get a palindrome (14660606641).

The spelling of 10340302340 in words is "ten billion, three hundred forty million, three hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 233 310 466 620 932 961 1165 1922 2309 2330 3844 4618 4660 4805 7223 9236 9610 11545 14446 19220 23090 28892 36115 46180 71579 72230 143158 144460 223913 286316 357895 447826 537997 715790 895652 1075994 1119565 1431580 2151988 2218949 2239130 2689985 4437898 4478260 5379970 8875796 10759940 11094745 16677907 22189490 33355814 44378980 66711628 83389535 166779070 333558140 517015117 1034030234 2068060468 2585075585 5170151170 10340302340