Search a number
-
+
34360213020 = 2235715723319
BaseRepresentation
bin100000000000000001…
…110011111000011100
310021200121210200012020
4200000001303320130
51030332203304040
623441310340140
72324322664110
oct400001637034
9107617720166
1034360213020
1113632498671
1267ab1ba650
1333178074c3
14193d567740
15d61803cd0
hex800073e1c

34360213020 has 144 divisors (see below), whose sum is σ = 110690818560. Its totient is φ = 7801387776.

The previous prime is 34360213009. The next prime is 34360213037. The reversal of 34360213020 is 2031206343.

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, 10350921 + ... + 10354239.

It is an arithmetic number, because the mean of its divisors is an integer number (768686240).

Almost surely, 234360213020 is an apocalyptic number.

34360213020 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 34360213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55345409280).

34360213020 is an abundant number, since it is smaller than the sum of its proper divisors (76330605540).

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

34360213020 is a wasteful number, since it uses less digits than its factorization.

34360213020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3652 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34360213020 its reverse (2031206343), we get a palindrome (36391419363).

The spelling of 34360213020 in words is "thirty-four billion, three hundred sixty million, two hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 157 210 314 420 471 628 785 942 1099 1570 1884 2198 2355 3140 3297 3319 4396 4710 5495 6594 6638 9420 9957 10990 13188 13276 16485 16595 19914 21980 23233 24649 32970 33190 39828 46466 49298 49785 65940 66380 69699 73947 92932 98596 99570 116165 123245 139398 147894 172543 199140 232330 246490 278796 295788 345086 348495 369735 464660 492980 517629 521083 690172 696990 739470 862715 1035258 1042166 1393980 1478940 1563249 1725430 2070516 2084332 2588145 2605415 3126498 3450860 3647581 5176290 5210830 6252996 7295162 7816245 10352580 10421660 10942743 14590324 15632490 18237905 21885486 31264980 36475810 43770972 54713715 72951620 81810031 109427430 163620062 218854860 245430093 327240124 409050155 490860186 572670217 818100310 981720372 1145340434 1227150465 1636200620 1718010651 2290680868 2454300930 2863351085 3436021302 4908601860 5726702170 6872042604 8590053255 11453404340 17180106510 34360213020