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3034040310 = 2325722512741
BaseRepresentation
bin1011010011010111…
…1100011111110110
321211110002012212100
42310311330133312
522203203242220
61221022002530
7135120626400
oct26465743766
97743065770
103034040310
111317700434
12708116446
13394772532
1420ad47b70
1512b569d90
hexb4d7c7f6

3034040310 has 144 divisors (see below), whose sum is σ = 9216344592. Its totient is φ = 690480000.

The previous prime is 3034040281. The next prime is 3034040329. The reversal of 3034040310 is 130404303.

It is a super-2 number, since 2×30340403102 = 18410801205409792200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1105540 + ... + 1108280.

It is an arithmetic number, because the mean of its divisors is an integer number (64002393).

Almost surely, 23034040310 is an apocalyptic number.

3034040310 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 3034040310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608172296).

3034040310 is an abundant number, since it is smaller than the sum of its proper divisors (6182304282).

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

3034040310 is a wasteful number, since it uses less digits than its factorization.

3034040310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3034040310 is about 55082.1233250862. The cubic root of 3034040310 is about 1447.6840253920.

Adding to 3034040310 its reverse (130404303), we get a palindrome (3164444613).

The spelling of 3034040310 in words is "three billion, thirty-four million, forty thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 251 294 315 441 490 502 630 735 753 882 1255 1470 1506 1757 2205 2259 2510 2741 3514 3765 4410 4518 5271 5482 7530 8223 8785 10542 11295 12299 13705 15813 16446 17570 19187 22590 24598 24669 26355 27410 31626 36897 38374 41115 49338 52710 57561 61495 73794 79065 82230 95935 110691 115122 122990 123345 134309 158130 172683 184485 191870 221382 246690 268618 287805 345366 368970 402927 553455 575610 671545 687991 805854 863415 1106910 1208781 1343090 1375982 1726830 2014635 2063973 2417562 3439955 4029270 4127946 4815937 6043905 6191919 6879910 9631874 10319865 12087810 12383838 14447811 20639730 24079685 28895622 30959595 33711559 43343433 48159370 61919190 67423118 72239055 86686866 101134677 144478110 168557795 202269354 216717165 303404031 337115590 433434330 505673385 606808062 1011346770 1517020155 3034040310