Search a number
-
+
34112312242230 = 2356730375588179
BaseRepresentation
bin1111100000110011001000…
…10000001111000000110110
311110210002211200200111211110
413300121210100033000312
513432344003413222410
6200314551354215450
710120350616612635
oct760314420170066
9143702750614743
1034112312242230
11a961a4aa55622
1239ab240424586
131605a147a5041
1485d08aa0751c
153e2515d6a720
hex1f066440f036

34112312242230 has 64 divisors (see below), whose sum is σ = 83118857552640. Its totient is φ = 8957894039424.

The previous prime is 34112312242157. The next prime is 34112312242271. The reversal of 34112312242230 is 3224221321143.

It is a happy number.

It is a super-2 number, since 2×341123122422302 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3310281 + ... + 8898459.

It is an arithmetic number, because the mean of its divisors is an integer number (1298732149260).

Almost surely, 234112312242230 is an apocalyptic number.

34112312242230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34112312242230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41559428776320).

34112312242230 is an abundant number, since it is smaller than the sum of its proper divisors (49006545310410).

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

34112312242230 is a wasteful number, since it uses less digits than its factorization.

34112312242230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5591293.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 34112312242230 its reverse (3224221321143), we get a palindrome (37336533563373).

The spelling of 34112312242230 in words is "thirty-four trillion, one hundred twelve billion, three hundred twelve million, two hundred forty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 335 402 670 1005 2010 3037 6074 9111 15185 18222 30370 45555 91110 203479 406958 610437 1017395 1220874 2034790 3052185 5588179 6104370 11176358 16764537 27940895 33529074 55881790 83822685 167645370 374407993 748815986 1123223979 1872039965 2246447958 3744079930 5616119895 11232239790 16971299623 33942599246 50913898869 84856498115 101827797738 169712996230 254569494345 509138988690 1137077074741 2274154149482 3411231224223 5685385373705 6822462448446 11370770747410 17056156121115 34112312242230