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3042314340 = 22351321971523
BaseRepresentation
bin1011010101010110…
…0000100001100100
321212000122120200220
42311111200201210
522212313024330
61221515204340
7135251150052
oct26525404144
97760576626
103042314340
11132134187a
1270aa466b0
133963ab600
1420c09d1d2
1512c151710
hexb5560864

3042314340 has 144 divisors (see below), whose sum is σ = 9277063488. Its totient is φ = 744586752.

The previous prime is 3042314329. The next prime is 3042314357. The reversal of 3042314340 is 434132403.

It is a self number, because there is not a number n which added to its sum of digits gives 3042314340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1996819 + ... + 1998341.

It is an arithmetic number, because the mean of its divisors is an integer number (64424052).

Almost surely, 23042314340 is an apocalyptic number.

3042314340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3042314340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4638531744).

3042314340 is an abundant number, since it is smaller than the sum of its proper divisors (6234749148).

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

3042314340 is a wasteful number, since it uses less digits than its factorization.

3042314340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3042314340 is about 55157.1784992670. The cubic root of 3042314340 is about 1448.9988078678.

Adding to 3042314340 its reverse (434132403), we get a palindrome (3476446743).

The spelling of 3042314340 in words is "three billion, forty-two million, three hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 197 260 338 390 394 507 591 676 780 788 845 985 1014 1182 1523 1690 1970 2028 2364 2535 2561 2955 3046 3380 3940 4569 5070 5122 5910 6092 7615 7683 9138 10140 10244 11820 12805 15230 15366 18276 19799 22845 25610 30460 30732 33293 38415 39598 45690 51220 59397 66586 76830 79196 91380 98995 99879 118794 133172 153660 166465 197990 199758 237588 257387 296985 300031 332930 395980 399516 499395 514774 593970 600062 665860 772161 900093 998790 1029548 1187940 1200124 1286935 1500155 1544322 1800186 1997580 2573870 3000310 3088644 3600372 3860805 3900403 4500465 5147740 6000620 7721610 7800806 9000930 11701209 15443220 15601612 18001860 19502015 23402418 39004030 46804836 50705239 58506045 78008060 101410478 117012090 152115717 202820956 234024180 253526195 304231434 507052390 608462868 760578585 1014104780 1521157170 3042314340