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3102505434 = 2327291814691
BaseRepresentation
bin1011100011101100…
…0111100111011010
322000012220121100200
42320323013213122
522323220133214
61231505243030
7136611601230
oct27073074732
98005817320
103102505434
111352313286
12727033476
133a59c4542
1421608a950
15132590d09
hexb8ec79da

3102505434 has 96 divisors (see below), whose sum is σ = 7992915840. Its totient is φ = 850953600.

The previous prime is 3102505429. The next prime is 3102505447. The reversal of 3102505434 is 4345052013.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3102505398 and 3102505407.

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 47 ways as a sum of consecutive naturals, for example, 659029 + ... + 663719.

It is an arithmetic number, because the mean of its divisors is an integer number (83259540).

Almost surely, 23102505434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3102505434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996457920).

3102505434 is an abundant number, since it is smaller than the sum of its proper divisors (4890410406).

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

3102505434 is a wasteful number, since it uses less digits than its factorization.

3102505434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4916 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3102505434 is about 55700.1385456087. The cubic root of 3102505434 is about 1458.4924443133.

Adding to 3102505434 its reverse (4345052013), we get a palindrome (7447557447).

It can be divided in two parts, 3102 and 505434, that added together give a triangular number (508536 = T1008).

The spelling of 3102505434 in words is "three billion, one hundred two million, five hundred five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 181 203 261 362 406 522 543 609 1086 1218 1267 1629 1827 2534 3258 3654 3801 4691 5249 7602 9382 10498 11403 14073 15747 22806 28146 31494 32837 36743 42219 47241 65674 73486 84438 94482 98511 110229 136039 197022 220458 272078 295533 330687 408117 591066 661374 816234 849071 952273 1224351 1698142 1904546 2448702 2547213 2856819 5094426 5713638 5943497 7641639 8570457 11886994 15283278 17140914 17830491 24623059 35660982 49246118 53491473 73869177 106982946 147738354 172361413 221607531 344722826 443215062 517084239 1034168478 1551252717 3102505434