Search a number
-
+
3430424244 = 22313414312473
BaseRepresentation
bin1100110001111000…
…0001111010110100
322212001221121101210
43030132001322310
524011142033434
61324221521420
7151003060602
oct31436017264
98761847353
103430424244
111500426565
127b8a13270
13428918c40
1424784a872
15151266ee9
hexcc781eb4

3430424244 has 96 divisors (see below), whose sum is σ = 9036365184. Its totient is φ = 1005742080.

The previous prime is 3430424219. The next prime is 3430424273. The reversal of 3430424244 is 4424240343.

3430424244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 268792 + ... + 281264.

It is an arithmetic number, because the mean of its divisors is an integer number (94128804).

Almost surely, 23430424244 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 3430424244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4518182592).

3430424244 is an abundant number, since it is smaller than the sum of its proper divisors (5605940940).

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

3430424244 is a wasteful number, since it uses less digits than its factorization.

3430424244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12577 (or 12575 counting only the distinct ones).

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

The square root of 3430424244 is about 58569.8236637264. The cubic root of 3430424244 is about 1508.1664577373.

Adding to 3430424244 its reverse (4424240343), we get a palindrome (7854664587).

The spelling of 3430424244 in words is "three billion, four hundred thirty million, four hundred twenty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 41 43 52 78 82 86 123 129 156 164 172 246 258 492 516 533 559 1066 1118 1599 1677 1763 2132 2236 3198 3354 3526 5289 6396 6708 7052 10578 12473 21156 22919 24946 37419 45838 49892 68757 74838 91676 137514 149676 162149 275028 324298 486447 511393 536339 648596 972894 1022786 1072678 1534179 1609017 1945788 2045572 2145356 3068358 3218034 6136716 6436068 6648109 6972407 13296218 13944814 19944327 20917221 21989899 26592436 27889628 39888654 41834442 43979798 65969697 79777308 83668884 87959596 131939394 263878788 285868687 571737374 857606061 1143474748 1715212122 3430424244