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34232220330 = 23571118617963
BaseRepresentation
bin11111111000011001…
…100011101010101010
310021100200221222020020
4133320121203222222
51030101422022310
623420455141310
72321210033430
oct377031435252
9107320858206
1034232220330
1113577217890
126774374836
1332c7142599
14192a56ad50
15d55470170
hex7f8663aaa

34232220330 has 128 divisors (see below), whose sum is σ = 102497826816. Its totient is φ = 7108473600.

The previous prime is 34232220317. The next prime is 34232220359. The reversal of 34232220330 is 3302223243.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34232220330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4294929 + ... + 4302891.

It is an arithmetic number, because the mean of its divisors is an integer number (800764272).

Almost surely, 234232220330 is an apocalyptic number.

34232220330 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 34232220330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51248913408).

34232220330 is an abundant number, since it is smaller than the sum of its proper divisors (68265606486).

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

34232220330 is a wasteful number, since it uses less digits than its factorization.

34232220330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9852.

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 34232220330 its reverse (3302223243), we get a palindrome (37534443573).

The spelling of 34232220330 in words is "thirty-four billion, two hundred thirty-two million, two hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 1861 2310 3722 5583 7963 9305 11166 13027 15926 18610 20471 23889 26054 27915 39081 39815 40942 47778 55741 55830 61413 65135 78162 79630 87593 102355 111482 119445 122826 130270 143297 167223 175186 195405 204710 238890 262779 278705 286594 307065 334446 390810 429891 437965 525558 557410 613151 614130 716485 836115 859782 875930 1226302 1313895 1432970 1672230 1839453 2149455 2627790 3065755 3678906 4298910 6131510 9197265 14819143 18394530 29638286 44457429 74095715 88914858 103734001 148191430 163010573 207468002 222287145 311202003 326021146 444574290 489031719 518670005 622404006 815052865 978063438 1037340010 1141074011 1556010015 1630105730 2282148022 2445158595 3112020030 3423222033 4890317190 5705370055 6846444066 11410740110 17116110165 34232220330