Search a number
-
+
10302434304 = 21035476131
BaseRepresentation
bin10011001100001001…
…01010110000000000
3222120222211212222220
421212010222300000
5132044410344204
64422144531040
7513206150421
oct114604526000
928528755886
1010302434304
114407501418
121bb6320a80
13c8255b296
146da3ab648
154046ed1d9
hex26612ac00

10302434304 has 88 divisors (see below), whose sum is σ = 27514431168. Its totient is φ = 3427307520.

The previous prime is 10302434291. The next prime is 10302434369. The reversal of 10302434304 is 40343420301.

It is a super-2 number, since 2×103024343042 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1677319 + ... + 1683449.

Almost surely, 210302434304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10302434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13757215584).

10302434304 is an abundant number, since it is smaller than the sum of its proper divisors (17211996864).

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

10302434304 is an equidigital number, since it uses as much as digits as its factorization.

10302434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6701 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 10302434304 its reverse (40343420301), we get a palindrome (50645854605).

The spelling of 10302434304 in words is "ten billion, three hundred two million, four hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 547 768 1024 1094 1536 1641 2188 3072 3282 4376 6131 6564 8752 12262 13128 17504 18393 24524 26256 35008 36786 49048 52512 70016 73572 98096 105024 140032 147144 196192 210048 280064 294288 392384 420096 560128 588576 784768 840192 1177152 1569536 1680384 2354304 3139072 3353657 4708608 6278144 6707314 9417216 10060971 13414628 18834432 20121942 26829256 40243884 53658512 80487768 107317024 160975536 214634048 321951072 429268096 643902144 858536192 1287804288 1717072384 2575608576 3434144768 5151217152 10302434304