Search a number
-
+
3514133430 = 2335231733271
BaseRepresentation
bin1101000101110101…
…0110101110110110
3100001220110110211000
43101131112232312
524144104232210
61340412024130
7153040432653
oct32135265666
910056413730
103514133430
111543700505
12820a62046
134400776c2
142549dac2a
1515879eac0
hexd1756bb6

3514133430 has 128 divisors (see below), whose sum is σ = 9837987840. Its totient is φ = 890904960.

The previous prime is 3514133369. The next prime is 3514133449. The reversal of 3514133430 is 343314153.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3514133394 and 3514133403.

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 63 ways as a sum of consecutive naturals, for example, 1072695 + ... + 1075965.

It is an arithmetic number, because the mean of its divisors is an integer number (76859280).

Almost surely, 23514133430 is an apocalyptic number.

3514133430 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 3514133430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4918993920).

3514133430 is an abundant number, since it is smaller than the sum of its proper divisors (6323854410).

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

3514133430 is a wasteful number, since it uses less digits than its factorization.

3514133430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3514133430 is about 59280.1267711195. The cubic root of 3514133430 is about 1520.3354277627.

Adding to 3514133430 its reverse (343314153), we get a palindrome (3857447583).

The spelling of 3514133430 in words is "three billion, five hundred fourteen million, one hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 173 207 230 270 345 346 414 519 621 690 865 1035 1038 1242 1557 1730 2070 2595 3105 3114 3271 3979 4671 5190 6210 6542 7785 7958 9342 9813 11937 15570 16355 19626 19895 23355 23874 29439 32710 35811 39790 46710 49065 58878 59685 71622 75233 88317 98130 107433 119370 147195 150466 176634 179055 214866 225699 294390 358110 376165 441585 451398 537165 565883 677097 752330 883170 1074330 1128495 1131766 1354194 1697649 2031291 2256990 2829415 3385485 3395298 4062582 5092947 5658830 6770970 8488245 10156455 10185894 13015309 15278841 16976490 20312910 25464735 26030618 30557682 39045927 50929470 65076545 76394205 78091854 117137781 130153090 152788410 195229635 234275562 351413343 390459270 585688905 702826686 1171377810 1757066715 3514133430