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10341434320 = 2457215117471
BaseRepresentation
bin10011010000110010…
…11100001111010000
3222200201020021221221
421220121130033100
5132134401344240
64430100454424
7514161512200
oct115031341720
928621207857
1010341434320
114427519738
1220073aa414
13c8a664909
14701640400
15407d53a4a
hex26865c3d0

10341434320 has 120 divisors (see below), whose sum is σ = 28156197888. Its totient is φ = 3521952000.

The previous prime is 10341434303. The next prime is 10341434329. The reversal of 10341434320 is 2343414301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10341434329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583185 + ... + 600655.

Almost surely, 210341434320 is an apocalyptic number.

10341434320 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 10341434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14078098944).

10341434320 is an abundant number, since it is smaller than the sum of its proper divisors (17814763568).

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

10341434320 is a wasteful number, since it uses less digits than its factorization.

10341434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17649 (or 17636 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 10341434320 its reverse (2343414301), we get a palindrome (12684848621).

The spelling of 10341434320 in words is "ten billion, three hundred forty-one million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 151 196 245 280 302 392 490 560 604 755 784 980 1057 1208 1510 1960 2114 2416 3020 3920 4228 5285 6040 7399 8456 10570 12080 14798 16912 17471 21140 29596 34942 36995 42280 59192 69884 73990 84560 87355 118384 122297 139768 147980 174710 244594 279536 295960 349420 489188 591920 611485 698840 856079 978376 1222970 1397680 1712158 1956752 2445940 2638121 3424316 4280395 4891880 5276242 6848632 8560790 9783760 10552484 13190605 13697264 17121580 18466847 21104968 26381210 34243160 36933694 42209936 52762420 68486320 73867388 92334235 105524840 129267929 147734776 184668470 211049680 258535858 295469552 369336940 517071716 646339645 738673880 1034143432 1292679290 1477347760 2068286864 2585358580 5170717160 10341434320