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3434214630 = 2357112515923
BaseRepresentation
bin1100110010110001…
…1111010011100110
322212100002011211110
43030230133103212
524013124332010
61324435045450
7151050225360
oct31454372346
98770064743
103434214630
111502585310
127ba140886
13429645282
14248155d30
15151765120
hexccb1f4e6

3434214630 has 128 divisors (see below), whose sum is σ = 10318565376. Its totient is φ = 710640000.

The previous prime is 3434214613. The next prime is 3434214631. The reversal of 3434214630 is 364124343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434214631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 576849 + ... + 582771.

It is an arithmetic number, because the mean of its divisors is an integer number (80613792).

Almost surely, 23434214630 is an apocalyptic number.

3434214630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3434214630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159282688).

3434214630 is an abundant number, since it is smaller than the sum of its proper divisors (6884350746).

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

3434214630 is a wasteful number, since it uses less digits than its factorization.

3434214630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6202.

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 3434214630 is about 58602.1725706479. The cubic root of 3434214630 is about 1508.7217271395.

Adding to 3434214630 its reverse (364124343), we get a palindrome (3798338973).

The spelling of 3434214630 in words is "three billion, four hundred thirty-four million, two hundred fourteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 251 330 385 462 502 753 770 1155 1255 1506 1757 2310 2510 2761 3514 3765 5271 5522 5923 7530 8283 8785 10542 11846 13805 16566 17570 17769 19327 26355 27610 29615 35538 38654 41415 41461 52710 57981 59230 65153 82830 82922 88845 96635 115962 124383 130306 177690 193270 195459 207305 248766 289905 325765 390918 414610 456071 579810 621915 651530 912142 977295 1243830 1368213 1486673 1954590 2280355 2736426 2973346 4460019 4560710 6841065 7433365 8920038 10406711 13682130 14866730 16353403 20813422 22300095 31220133 32706806 44600190 49060209 52033555 62440266 81767015 98120418 104067110 114473821 156100665 163534030 228947642 245301045 312201330 343421463 490602090 572369105 686842926 1144738210 1717107315 3434214630