Search a number
-
+
3034003440 = 2435133832539
BaseRepresentation
bin1011010011010111…
…0011011111110000
321211110000100021210
42310311303133300
522203201102230
61221021120120
7135120414036
oct26465633760
97743010253
103034003440
111317685766
127080b9040
1339475b810
1420ad38556
1512b55deb0
hexb4d737f0

3034003440 has 160 divisors (see below), whose sum is σ = 10159349760. Its totient is φ = 744588288.

The previous prime is 3034003397. The next prime is 3034003451. The reversal of 3034003440 is 443004303.

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 31 ways as a sum of consecutive naturals, for example, 1193691 + ... + 1196229.

It is an arithmetic number, because the mean of its divisors is an integer number (63495936).

Almost surely, 23034003440 is an apocalyptic number.

3034003440 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 3034003440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5079674880).

3034003440 is an abundant number, since it is smaller than the sum of its proper divisors (7125346320).

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

3034003440 is a wasteful number, since it uses less digits than its factorization.

3034003440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 3034003440 is about 55081.7886419822. The cubic root of 3034003440 is about 1447.6781612284.

Adding to 3034003440 its reverse (443004303), we get a palindrome (3477007743).

The spelling of 3034003440 in words is "three billion, thirty-four million, three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 383 390 520 624 766 780 1040 1149 1532 1560 1915 2298 2539 3064 3120 3830 4596 4979 5078 5745 6128 7617 7660 9192 9958 10156 11490 12695 14937 15234 15320 18384 19916 20312 22980 24895 25390 29874 30468 30640 33007 38085 39832 40624 45960 49790 50780 59748 60936 66014 74685 76170 79664 91920 99021 99580 101560 119496 121872 132028 149370 152340 165035 198042 199160 203120 238992 264056 298740 304680 330070 396084 398320 495105 528112 597480 609360 660140 792168 972437 990210 1194960 1320280 1584336 1944874 1980420 2640560 2917311 3889748 3960840 4862185 5834622 7779496 7921680 9724370 11669244 12641681 14586555 15558992 19448740 23338488 25283362 29173110 37925043 38897480 46676976 50566724 58346220 63208405 75850086 77794960 101133448 116692440 126416810 151700172 189625215 202266896 233384880 252833620 303400344 379250430 505667240 606800688 758500860 1011334480 1517001720 3034003440