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3434441140 = 22513193372063
BaseRepresentation
bin1100110010110101…
…0110100110110100
322212100111200112201
43030231112212310
524013204104030
61324443554244
7151052160634
oct31455264664
98770450481
103434441140
11150271a509
127ba22b984
134296c43c0
142481b46c4
151517ac2ca
hexccb569b4

3434441140 has 96 divisors (see below), whose sum is σ = 8204152320. Its totient is φ = 1197213696.

The previous prime is 3434441077. The next prime is 3434441149. The reversal of 3434441140 is 411444343.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3434441099 and 3434441108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434441149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1663749 + ... + 1665811.

It is an arithmetic number, because the mean of its divisors is an integer number (85459920).

Almost surely, 23434441140 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 3434441140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4102076160).

3434441140 is an abundant number, since it is smaller than the sum of its proper divisors (4769711180).

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

3434441140 is a wasteful number, since it uses less digits than its factorization.

3434441140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 3434441140 is about 58604.1051463121. The cubic root of 3434441140 is about 1508.7548965909.

Adding to 3434441140 its reverse (411444343), we get a palindrome (3845885483).

The spelling of 3434441140 in words is "three billion, four hundred thirty-four million, four hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 337 380 494 674 988 1235 1348 1685 2063 2470 3370 4126 4381 4940 6403 6740 8252 8762 10315 12806 17524 20630 21905 25612 26819 32015 39197 41260 43810 53638 64030 78394 83239 87620 107276 128060 134095 156788 166478 195985 268190 332956 391970 416195 509561 536380 695231 783940 832390 1019122 1390462 1664780 2038244 2547805 2780924 3476155 5095610 6952310 9038003 10191220 13209389 13904620 18076006 26418778 36152012 45190015 52837556 66046945 90380030 132093890 171722057 180760060 264187780 343444114 686888228 858610285 1717220570 3434441140