Search a number
-
+
34424201250 = 232543119839
BaseRepresentation
bin100000000011110101…
…111010000000100010
310021212002012121112200
4200003311322000202
51031000043420000
623451514034030
72326030611525
oct400365720042
9107762177480
1034424201250
11136656229aa
126808718916
133327b4c86a
141947c62bbc
15d67243500
hex803d7a022

34424201250 has 120 divisors (see below), whose sum is σ = 93511566720. Its totient is φ = 9149340000.

The previous prime is 34424201213. The next prime is 34424201261. The reversal of 34424201250 is 5210242443.

34424201250 is a `hidden beast` number, since 34 + 424 + 201 + 2 + 5 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3493831 + ... + 3503669.

It is an arithmetic number, because the mean of its divisors is an integer number (779263056).

Almost surely, 234424201250 is an apocalyptic number.

34424201250 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 34424201250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46755783360).

34424201250 is an abundant number, since it is smaller than the sum of its proper divisors (59087365470).

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

34424201250 is a wasteful number, since it uses less digits than its factorization.

34424201250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10178 (or 10160 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 34424201250 its reverse (5210242443), we get a palindrome (39634443693).

The spelling of 34424201250 in words is "thirty-four billion, four hundred twenty-four million, two hundred one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 311 375 450 622 625 750 933 1125 1250 1555 1866 1875 2250 2799 3110 3750 4665 5598 5625 7775 9330 9839 11250 13995 15550 19678 23325 27990 29517 38875 46650 49195 59034 69975 77750 88551 98390 116625 139950 147585 177102 194375 233250 245975 295170 349875 388750 442755 491950 583125 699750 737925 885510 1166250 1229875 1475850 1749375 2213775 2459750 3059929 3498750 3689625 4427550 6119858 6149375 7379250 9179787 11068875 12298750 15299645 18359574 18448125 22137750 27539361 30599290 36896250 45898935 55078722 55344375 76498225 91797870 110688750 137696805 152996450 229494675 275393610 382491125 458989350 688484025 764982250 1147473375 1376968050 1912455625 2294946750 3442420125 3824911250 5737366875 6884840250 11474733750 17212100625 34424201250