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34334322440 = 23511643121357
BaseRepresentation
bin11111111110011111…
…000010111100001000
310021121211002021222212
4133332133002330020
51030304041304230
623434543404252
72323556632265
oct377637027410
9107554067885
1034334322440
11136199146a0
1267a25b3688
133312340b32
141939d4826c
15d5e3dc895
hex7fe7c2f08

34334322440 has 64 divisors (see below), whose sum is σ = 84406916160. Its totient is φ = 12465688320.

The previous prime is 34334322433. The next prime is 34334322479. The reversal of 34334322440 is 4422343343.

It is a junction number, because it is equal to n+sod(n) for n = 34334322397 and 34334322406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222242 + ... + 343598.

It is an arithmetic number, because the mean of its divisors is an integer number (1318858065).

Almost surely, 234334322440 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 34334322440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42203458080).

34334322440 is an abundant number, since it is smaller than the sum of its proper divisors (50072593720).

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

34334322440 is a wasteful number, since it uses less digits than its factorization.

34334322440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122022 (or 122018 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 34334322440 its reverse (4422343343), we get a palindrome (38756665783).

The spelling of 34334322440 in words is "thirty-four billion, three hundred thirty-four million, three hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 643 1286 2572 3215 5144 6430 7073 12860 14146 25720 28292 35365 56584 70730 121357 141460 242714 282920 485428 606785 970856 1213570 1334927 2427140 2669854 4854280 5339708 6674635 10679416 13349270 26698540 53397080 78032551 156065102 312130204 390162755 624260408 780325510 858358061 1560651020 1716716122 3121302040 3433432244 4291790305 6866864488 8583580610 17167161220 34334322440