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834952272 = 24371131867
BaseRepresentation
bin110001110001000…
…101110001010000
32011012002222012020
4301301011301100
53202221433042
6214503531440
726455656120
oct6161056120
92135088166
10834952272
11399344000
121b3759b80
13103c9cccb
147cc66c80
154d47d3ec
hex31c45c50

834952272 has 160 divisors (see below), whose sum is σ = 2712873984. Its totient is φ = 216754560.

The previous prime is 834952271. The next prime is 834952309. The reversal of 834952272 is 272259438.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (241920) is a multiple of the sum of its prime divisors (1890).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834952271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446283 + ... + 448149.

Almost surely, 2834952272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834952272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356436992).

834952272 is an abundant number, since it is smaller than the sum of its proper divisors (1877921712).

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

834952272 is a wasteful number, since it uses less digits than its factorization.

834952272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1890 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 834952272 is about 28895.5406940241. The cubic root of 834952272 is about 941.6450265247.

The spelling of 834952272 in words is "eight hundred thirty-four million, nine hundred fifty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 121 132 154 168 176 231 242 264 308 336 363 462 484 528 616 726 847 924 968 1232 1331 1452 1694 1848 1867 1936 2541 2662 2904 3388 3696 3734 3993 5082 5324 5601 5808 6776 7468 7986 9317 10164 10648 11202 13069 13552 14936 15972 18634 20328 20537 21296 22404 26138 27951 29872 31944 37268 39207 40656 41074 44808 52276 55902 61611 63888 74536 78414 82148 89616 104552 111804 123222 143759 149072 156828 164296 209104 223608 225907 246444 287518 313656 328592 431277 447216 451814 492888 575036 627312 677721 862554 903628 985776 1150072 1355442 1581349 1725108 1807256 2300144 2484977 2710884 3162698 3450216 3614512 4744047 4969954 5421768 6325396 6900432 7454931 9488094 9939908 10843536 12650792 14909862 17394839 18976188 19879816 25301584 29819724 34789678 37952376 39759632 52184517 59639448 69579356 75904752 104369034 119278896 139158712 208738068 278317424 417476136 834952272