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34220343040 = 2851312716193
BaseRepresentation
bin11111110111101100…
…001111111100000000
310021022212121112122121
4133313230033330000
51030040401434130
623415352414024
72321004054652
oct376754177400
9107285545577
1034220343040
1113570545244
1267703a7314
1332c48443c0
141928b586d2
15d543c5d7a
hex7f7b0ff00

34220343040 has 144 divisors (see below), whose sum is σ = 88974240768. Its totient is φ = 12534939648.

The previous prime is 34220343037. The next prime is 34220343043. The reversal of 34220343040 is 4034302243.

It is an interprime number because it is at equal distance from previous prime (34220343037) and next prime (34220343043).

It is a junction number, because it is equal to n+sod(n) for n = 34220342996 and 34220343014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34220343043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2105184 + ... + 2121376.

It is an arithmetic number, because the mean of its divisors is an integer number (617876672).

Almost surely, 234220343040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34220343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44487120384).

34220343040 is an abundant number, since it is smaller than the sum of its proper divisors (54753897728).

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

34220343040 is a wasteful number, since it uses less digits than its factorization.

34220343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16354 (or 16340 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 34220343040 its reverse (4034302243), we get a palindrome (38254645283).

The spelling of 34220343040 in words is "thirty-four billion, two hundred twenty million, three hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 127 128 130 160 208 254 256 260 320 416 508 520 635 640 832 1016 1040 1270 1280 1651 1664 2032 2080 2540 3302 3328 4064 4160 5080 6604 8128 8255 8320 10160 13208 16193 16256 16510 16640 20320 26416 32386 32512 33020 40640 52832 64772 66040 80965 81280 105664 129544 132080 161930 162560 210509 211328 259088 264160 323860 421018 422656 518176 528320 647720 842036 1036352 1052545 1056640 1295440 1684072 2056511 2072704 2105090 2113280 2590880 3368144 4113022 4145408 4210180 5181760 6736288 8226044 8420360 10282555 10363520 13472576 16452088 16840720 20565110 20727040 26734643 26945152 32904176 33681440 41130220 53469286 53890304 65808352 67362880 82260440 106938572 131616704 133673215 134725760 164520880 213877144 263233408 267346430 269451520 329041760 427754288 526466816 534692860 658083520 855508576 1069385720 1316167040 1711017152 2138771440 2632334080 3422034304 4277542880 6844068608 8555085760 17110171520 34220343040