Search a number
-
+
34130442324 = 22311892905213
BaseRepresentation
bin11111110010010101…
…010011100001010100
310021002121110010001110
4133302111103201110
51024344343123244
623402421455020
72315532654516
oct376225234124
9107077403043
1034130442324
1113524821530
126746271470
1332ac028704
14191ac35bb6
15d4b5689b9
hex7f2553854

34130442324 has 48 divisors (see below), whose sum is σ = 87853671360. Its totient is φ = 10226346240.

The previous prime is 34130442323. The next prime is 34130442347. The reversal of 34130442324 is 42324403143.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34130442291 and 34130442300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34130442323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1440859 + ... + 1464354.

It is an arithmetic number, because the mean of its divisors is an integer number (1830284820).

Almost surely, 234130442324 is an apocalyptic number.

It is an amenable number.

34130442324 is an abundant number, since it is smaller than the sum of its proper divisors (53723229036).

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

34130442324 is a wasteful number, since it uses less digits than its factorization.

34130442324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905320 (or 2905318 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 34130442324 its reverse (42324403143), we get a palindrome (76454845467).

The spelling of 34130442324 in words is "thirty-four billion, one hundred thirty million, four hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 89 132 178 267 356 534 979 1068 1958 2937 3916 5874 11748 2905213 5810426 8715639 11620852 17431278 31957343 34862556 63914686 95872029 127829372 191744058 258563957 383488116 517127914 775691871 1034255828 1551383742 2844203527 3102767484 5688407054 8532610581 11376814108 17065221162 34130442324