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3434544340 = 2251714297069
BaseRepresentation
bin1100110010110110…
…1111110011010100
322212100200221002221
43030231233303110
524013220404330
61324450112124
7151053100543
oct31455576324
98770627087
103434544340
11150278aaa7
127ba27b644
1342972c376
1424820015a
151517ccb7a
hexccb6fcd4

3434544340 has 48 divisors (see below), whose sum is σ = 7643235600. Its totient is φ = 1291917312.

The previous prime is 3434544331. The next prime is 3434544353. The reversal of 3434544340 is 434454343.

It can be written as a sum of positive squares in 8 ways, for example, as 228493456 + 3206050884 = 15116^2 + 56622^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 3434544296 and 3434544305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482326 + ... + 489394.

It is an arithmetic number, because the mean of its divisors is an integer number (159234075).

Almost surely, 23434544340 is an apocalyptic number.

It is an amenable number.

3434544340 is an abundant number, since it is smaller than the sum of its proper divisors (4208691260).

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

3434544340 is a wasteful number, since it uses less digits than its factorization.

3434544340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8524 (or 8522 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 34.

The square root of 3434544340 is about 58604.9856240917. The cubic root of 3434544340 is about 1508.7700084086.

Adding to 3434544340 its reverse (434454343), we get a palindrome (3868998683).

The spelling of 3434544340 in words is "three billion, four hundred thirty-four million, five hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1429 2858 5716 7069 7145 14138 14290 24293 28276 28580 35345 48586 70690 97172 120173 121465 141380 240346 242930 480692 485860 600865 1201730 2403460 10101601 20203202 40406404 50508005 101016010 171727217 202032020 343454434 686908868 858636085 1717272170 3434544340