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34302224340 = 22325533595621
BaseRepresentation
bin11111111100100100…
…100110011111010100
310021112120200112200100
4133330210212133110
51030222332134330
623431435414100
72323020044646
oct377444463724
9107476615610
1034302224340
111360279093a
1267938b4330
1333087b2b87
141935990896
15d5b69c060
hex7fc9267d4

34302224340 has 72 divisors (see below), whose sum is σ = 106013319048. Its totient is φ = 8974667520.

The previous prime is 34302224329. The next prime is 34302224353. The reversal of 34302224340 is 4342220343.

34302224340 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 222 + 434 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 146748996 + 34155475344 = 12114^2 + 184812^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1788271 + ... + 1807350.

It is an arithmetic number, because the mean of its divisors is an integer number (1472407209).

Almost surely, 234302224340 is an apocalyptic number.

34302224340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34302224340 is an abundant number, since it is smaller than the sum of its proper divisors (71711094708).

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

34302224340 is a wasteful number, since it uses less digits than its factorization.

34302224340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3595689 (or 3595684 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 34302224340 its reverse (4342220343), we get a palindrome (38644444683).

The spelling of 34302224340 in words is "thirty-four billion, three hundred two million, two hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 3595621 7191242 10786863 14382484 17978105 21573726 32360589 35956210 43147452 53934315 64721178 71912420 107868630 129442356 161802945 190567913 215737260 323605890 381135826 571703739 647211780 762271652 952839565 1143407478 1715111217 1905679130 2286814956 2858518695 3430222434 3811358260 5717037390 6860444868 8575556085 11434074780 17151112170 34302224340