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10324303440 = 2435114390947
BaseRepresentation
bin10011001110110000…
…00101111001010000
3222122111222221210220
421213120011321100
5132121010202230
64424245353040
7513563063013
oct114730057120
928574887726
1010324303440
114418888a90
122001708780
13c86c473b9
146dd26137a
154065bcd10
hex267605e50

10324303440 has 160 divisors (see below), whose sum is σ = 35727284736. Its totient is φ = 2444628480.

The previous prime is 10324303417. The next prime is 10324303441. The reversal of 10324303440 is 4430342301.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10324303440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10324303441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68047 + ... + 158993.

Almost surely, 210324303440 is an apocalyptic number.

10324303440 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 10324303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17863642368).

10324303440 is an abundant number, since it is smaller than the sum of its proper divisors (25402981296).

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

10324303440 is a wasteful number, since it uses less digits than its factorization.

10324303440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91017 (or 91011 counting only the distinct ones).

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

Adding to 10324303440 its reverse (4430342301), we get a palindrome (14754645741).

The spelling of 10324303440 in words is "ten billion, three hundred twenty-four million, three hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 43 44 48 55 60 66 80 86 88 110 120 129 132 165 172 176 215 220 240 258 264 330 344 430 440 473 516 528 645 660 688 860 880 946 1032 1290 1320 1419 1720 1892 2064 2365 2580 2640 2838 3440 3784 4730 5160 5676 7095 7568 9460 10320 11352 14190 18920 22704 28380 37840 56760 90947 113520 181894 272841 363788 454735 545682 727576 909470 1000417 1091364 1364205 1455152 1818940 2000834 2182728 2728410 3001251 3637880 3910721 4001668 4365456 5002085 5456820 6002502 7275760 7821442 8003336 10004170 10913640 11732163 12005004 15006255 15642884 16006672 19553605 20008340 21827280 23464326 24010008 30012510 31285768 39107210 40016680 43017931 46928652 48020016 58660815 60025020 62571536 78214420 80033360 86035862 93857304 117321630 120050040 129053793 156428840 172071724 187714608 215089655 234643260 240100080 258107586 312857680 344143448 430179310 469286520 516215172 645268965 688286896 860358620 938573040 1032430344 1290537930 1720717240 2064860688 2581075860 3441434480 5162151720 10324303440