Search a number
-
+
3345233430 = 2357211206879
BaseRepresentation
bin1100011101100100…
…0011011000010110
322122010122110120110
43013121003120112
523322334432210
61311535543450
7145620005100
oct30731033026
98563573513
103345233430
11146732a430
1279438ab86
1341408bc86
1423a3d2570
15148a3a420
hexc7643616

3345233430 has 96 divisors (see below), whose sum is σ = 10188426240. Its totient is φ = 695110080.

The previous prime is 3345233407. The next prime is 3345233449. The reversal of 3345233430 is 343325433.

It is a super-2 number, since 2×33452334302 = 22381173402379129800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87270 + ... + 119609.

It is an arithmetic number, because the mean of its divisors is an integer number (106129440).

Almost surely, 23345233430 is an apocalyptic number.

3345233430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3345233430 is an abundant number, since it is smaller than the sum of its proper divisors (6843192810).

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

3345233430 is a wasteful number, since it uses less digits than its factorization.

3345233430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206914 (or 206907 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 30.

The square root of 3345233430 is about 57837.9929631034. The cubic root of 3345233430 is about 1495.5771092874.

Adding to 3345233430 its reverse (343325433), we get a palindrome (3688558863).

The spelling of 3345233430 in words is "three billion, three hundred forty-five million, two hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 147 154 165 210 231 245 294 330 385 462 490 539 735 770 1078 1155 1470 1617 2310 2695 3234 5390 8085 16170 206879 413758 620637 1034395 1241274 1448153 2068790 2275669 2896306 3103185 4344459 4551338 6206370 6827007 7240765 8688918 10137071 11378345 13654014 14481530 15929683 20274142 21722295 22756690 30411213 31859366 34135035 43444590 47789049 50685355 60822426 68270070 79648415 95578098 101370710 111507781 152056065 159296830 223015562 238945245 304112130 334523343 477890490 557538905 669046686 1115077810 1672616715 3345233430