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34232402144 = 2519107526199
BaseRepresentation
bin11111111000011010…
…010000000011100000
310021100201022012122002
4133320122100003200
51030101443332034
623420503103132
72321211421463
oct377032200340
9107321265562
1034232402144
1113577331446
126774441aa8
1332c71a7275
14192a5b72da
15d554a8e7e
hex7f86900e0

34232402144 has 48 divisors (see below), whose sum is σ = 71605296000. Its totient is φ = 16063772544.

The previous prime is 34232402129. The next prime is 34232402167. The reversal of 34232402144 is 44120423243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198044 + ... + 328155.

It is an arithmetic number, because the mean of its divisors is an integer number (1491777000).

Almost surely, 234232402144 is an apocalyptic number.

It is an amenable number.

34232402144 is an abundant number, since it is smaller than the sum of its proper divisors (37372893856).

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

34232402144 is a wasteful number, since it uses less digits than its factorization.

34232402144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526335 (or 526327 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 34232402144 its reverse (44120423243), we get a palindrome (78352825387).

The spelling of 34232402144 in words is "thirty-four billion, two hundred thirty-two million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 76 107 152 214 304 428 608 856 1712 2033 3424 4066 8132 16264 32528 65056 526199 1052398 2104796 4209592 8419184 9997781 16838368 19995562 39991124 56303293 79982248 112606586 159964496 225213172 319928992 450426344 900852688 1069762567 1801705376 2139525134 4279050268 8558100536 17116201072 34232402144