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34220031030 = 23252924154403
BaseRepresentation
bin11111110111101011…
…000011110000110110
310021022212000200122200
4133313223003300312
51030040311443110
623415342005330
72321001315213
oct376753036066
9107285020580
1034220031030
1113570351889
126770276846
1332c4765393
141928ab6b0a
15d543636c0
hex7f7ac3c36

34220031030 has 96 divisors (see below), whose sum is σ = 92423691360. Its totient is φ = 8773954560.

The previous prime is 34220031007. The next prime is 34220031037. The reversal of 34220031030 is 3013002243.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34220030994 and 34220031012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34220031037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 601809 + ... + 656211.

It is an arithmetic number, because the mean of its divisors is an integer number (962746785).

Almost surely, 234220031030 is an apocalyptic number.

34220031030 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 34220031030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46211845680).

34220031030 is an abundant number, since it is smaller than the sum of its proper divisors (58203660330).

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

34220031030 is a wasteful number, since it uses less digits than its factorization.

34220031030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54686 (or 54683 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 34220031030 its reverse (3013002243), we get a palindrome (37233033273).

The spelling of 34220031030 in words is "thirty-four billion, two hundred twenty million, thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 241 261 290 435 482 522 723 870 1205 1305 1446 2169 2410 2610 3615 4338 6989 7230 10845 13978 20967 21690 34945 41934 54403 62901 69890 104835 108806 125802 163209 209670 272015 314505 326418 489627 544030 629010 816045 979254 1577687 1632090 2448135 3155374 4733061 4896270 7888435 9466122 13111123 14199183 15776870 23665305 26222246 28398366 39333369 47330610 65555615 70995915 78666738 118000107 131111230 141991830 196666845 236000214 380222567 393333690 590000535 760445134 1140667701 1180001070 1901112835 2281335402 3422003103 3802225670 5703338505 6844006206 11406677010 17110015515 34220031030