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10304111340 = 22325359159457
BaseRepresentation
bin10011001100010110…
…00100001011101100
3222121010000002110100
421212023010023230
5132100323030330
64422244511100
7513226333635
oct114613041354
928533002410
1010304111340
1144084473a6
121bb69ab490
13c829c7703
146da6c688c
15404930060
hex2662c42ec

10304111340 has 72 divisors (see below), whose sum is σ = 31343064480. Its totient is φ = 2740091904.

The previous prime is 10304111329. The next prime is 10304111413. The reversal of 10304111340 is 4311140301.

10304111340 is a `hidden beast` number, since 10 + 304 + 1 + 11 + 340 = 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 23 ways as a sum of consecutive naturals, for example, 15109 + ... + 144348.

It is an arithmetic number, because the mean of its divisors is an integer number (435320340).

Almost surely, 210304111340 is an apocalyptic number.

10304111340 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 10304111340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15671532240).

10304111340 is an abundant number, since it is smaller than the sum of its proper divisors (21038953140).

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

10304111340 is a wasteful number, since it uses less digits than its factorization.

10304111340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159831 (or 159826 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10304111340 its reverse (4311140301), we get a palindrome (14615251641).

The spelling of 10304111340 in words is "ten billion, three hundred four million, one hundred eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 359 718 1077 1436 1795 2154 3231 3590 4308 5385 6462 7180 10770 12924 16155 21540 32310 64620 159457 318914 478371 637828 797285 956742 1435113 1594570 1913484 2391855 2870226 3189140 4783710 5740452 7175565 9567420 14351130 28702260 57245063 114490126 171735189 228980252 286225315 343470378 515205567 572450630 686940756 858675945 1030411134 1144901260 1717351890 2060822268 2576027835 3434703780 5152055670 10304111340