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424400034324 = 223715740737901
BaseRepresentation
bin1100010110100000011…
…01101001101000010100
31111120110011112112121210
412023100031221220110
523423132402044244
6522544445341420
742443012525220
oct6132015515024
91446404475553
10424400034324
11153a94834322
126a302867870
133103678b786
14167809b1780
15b08daa84b9
hex62d0369a14

424400034324 has 96 divisors (see below), whose sum is σ = 1139365737216. Its totient is φ = 120439987200.

The previous prime is 424400034319. The next prime is 424400034337. The reversal of 424400034324 is 423430004424.

It is a junction number, because it is equal to n+sod(n) for n = 424400034291 and 424400034300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53710774 + ... + 53718674.

It is an arithmetic number, because the mean of its divisors is an integer number (11868393096).

Almost surely, 2424400034324 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 424400034324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569682868608).

424400034324 is an abundant number, since it is smaller than the sum of its proper divisors (714965702892).

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

424400034324 is a wasteful number, since it uses less digits than its factorization.

424400034324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12145 (or 12143 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 424400034324 its reverse (423430004424), we get a palindrome (847830038748).

The spelling of 424400034324 in words is "four hundred twenty-four billion, four hundred million, thirty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 157 314 471 628 942 1099 1884 2198 3297 4073 4396 6594 7901 8146 12219 13188 15802 16292 23703 24438 28511 31604 47406 48876 55307 57022 85533 94812 110614 114044 165921 171066 221228 331842 342132 639461 663684 1240457 1278922 1918383 2480914 2557844 3721371 3836766 4476227 4961828 7442742 7673532 8683199 8952454 13428681 14885484 17366398 17904908 26049597 26857362 32180773 34732796 52099194 53714724 64361546 96542319 104198388 128723092 193084638 225265411 386169276 450530822 675796233 901061644 1351592466 2703184932 5052381361 10104762722 15157144083 20209525444 30314288166 35366669527 60628576332 70733339054 106100008581 141466678108 212200017162 424400034324