Search a number
-
+
340414524424 = 231337151585863
BaseRepresentation
bin1001111010000100100…
…10010110110000001000
31012112200001222120212001
410331002102112300020
521034132104240144
6420215000400344
733410534500222
oct4750222266010
91175601876761
10340414524424
11121407140707
1255b841760b4
1326140a397a0
14126947b5412
158cc5777bd4
hex4f42496c08

340414524424 has 64 divisors (see below), whose sum is σ = 710629597440. Its totient is φ = 151855430400.

The previous prime is 340414524397. The next prime is 340414524467. The reversal of 340414524424 is 424425414043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288117 + ... + 873979.

It is an arithmetic number, because the mean of its divisors is an integer number (11103587460).

Almost surely, 2340414524424 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 340414524424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355314798720).

340414524424 is an abundant number, since it is smaller than the sum of its proper divisors (370215073016).

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

340414524424 is a wasteful number, since it uses less digits than its factorization.

340414524424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586070 (or 586066 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 37.

Adding to 340414524424 its reverse (424425414043), we get a palindrome (764839938467).

The spelling of 340414524424 in words is "three hundred forty billion, four hundred fourteen million, five hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 151 296 302 481 604 962 1208 1924 1963 3848 3926 5587 7852 11174 15704 22348 44696 72631 145262 290524 581048 585863 1171726 2343452 4686904 7616219 15232438 21676931 30464876 43353862 60929752 86707724 88465313 173415448 176930626 281800103 353861252 563600206 707722504 1127200412 1150049069 2254400824 2300098138 3273216581 4600196276 6546433162 9200392552 13092866324 26185732648 42551815553 85103631106 170207262212 340414524424