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34224163530 = 235172329100609
BaseRepresentation
bin11111110111111010…
…110100101011001010
310021100010210122101020
4133313322310223022
51030042341213110
623420010333310
72321051406264
oct376772645312
9107303718336
1034224163530
1113572714677
12677172a236
1332c558134b
141929470b34
15d548ccd70
hex7f7eb4aca

34224163530 has 128 divisors (see below), whose sum is σ = 93881203200. Its totient is φ = 7932739584.

The previous prime is 34224163529. The next prime is 34224163531. The reversal of 34224163530 is 3536142243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34224163529) and next prime (34224163531).

It is a junction number, because it is equal to n+sod(n) for n = 34224163491 and 34224163500.

It is not an unprimeable number, because it can be changed into a prime (34224163531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 289866 + ... + 390474.

It is an arithmetic number, because the mean of its divisors is an integer number (733446900).

Almost surely, 234224163530 is an apocalyptic number.

34224163530 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 34224163530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46940601600).

34224163530 is an abundant number, since it is smaller than the sum of its proper divisors (59657039670).

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

34224163530 is a wasteful number, since it uses less digits than its factorization.

34224163530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100688.

The product of its (nonzero) digits is 51840, while the sum is 33.

The spelling of 34224163530 in words is "thirty-four billion, two hundred twenty-four million, one hundred sixty-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 23 29 30 34 46 51 58 69 85 87 102 115 138 145 170 174 230 255 290 345 391 435 493 510 667 690 782 870 986 1173 1334 1479 1955 2001 2346 2465 2958 3335 3910 4002 4930 5865 6670 7395 10005 11339 11730 14790 20010 22678 34017 56695 68034 100609 113390 170085 201218 301827 340170 503045 603654 1006090 1509135 1710353 2314007 2917661 3018270 3420706 4628014 5131059 5835322 6942021 8551765 8752983 10262118 11570035 13884042 14588305 17103530 17505966 23140070 25655295 29176610 34710105 39338119 43764915 49600237 51310590 67106203 69420210 78676238 87529830 99200474 118014357 134212406 148800711 196690595 201318609 236028714 248001185 297601422 335531015 393381190 402637218 496002370 590071785 671062030 744003555 1006593045 1140805451 1180143570 1488007110 2013186090 2281610902 3422416353 5704027255 6844832706 11408054510 17112081765 34224163530