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34025225010 = 2357832816947
BaseRepresentation
bin11111101100000011…
…111011101100110010
310020211021110112000220
4133230003323230302
51024140424200020
623344142353510
72313114432510
oct375403735462
9106737415026
1034025225010
1113480397177
126716b8b896
1332932a924a
14190ac874b0
15d421d3240
hex7ec0fbb32

34025225010 has 128 divisors (see below), whose sum is σ = 94800513024. Its totient is φ = 7655047680.

The previous prime is 34025224969. The next prime is 34025225027. The reversal of 34025225010 is 1052252043.

It is a super-2 number, since 2×340252250102 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

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, 4894357 + ... + 4901303.

It is an arithmetic number, because the mean of its divisors is an integer number (740629008).

Almost surely, 234025225010 is an apocalyptic number.

34025225010 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 34025225010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47400256512).

34025225010 is an abundant number, since it is smaller than the sum of its proper divisors (60775288014).

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

34025225010 is a wasteful number, since it uses less digits than its factorization.

34025225010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7328.

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 34025225010 its reverse (1052252043), we get a palindrome (35077477053).

The spelling of 34025225010 in words is "thirty-four billion, twenty-five million, two hundred twenty-five thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 83 105 166 210 249 281 415 498 562 581 830 843 1162 1245 1405 1686 1743 1967 2490 2810 2905 3486 3934 4215 5810 5901 6947 8430 8715 9835 11802 13894 17430 19670 20841 23323 29505 34735 41682 46646 48629 59010 69470 69969 97258 104205 116615 139938 145887 163261 208410 233230 243145 291774 326522 349845 486290 489783 576601 699690 729435 816305 979566 1153202 1458870 1632610 1729803 1952107 2448915 2883005 3459606 3904214 4036207 4897830 5766010 5856321 8072414 8649015 9760535 11712642 12108621 13664749 17298030 19521070 20181035 24217242 27329498 29281605 40362070 40994247 58563210 60543105 68323745 81988494 121086210 136647490 162024881 204971235 324049762 409942470 486074643 810124405 972149286 1134174167 1620248810 2268348334 2430373215 3402522501 4860746430 5670870835 6805045002 11341741670 17012612505 34025225010