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834496152 = 2337109199229
BaseRepresentation
bin110001101111010…
…110011010011000
32011011020210111220
4301233112122120
53202112334102
6214450052040
726452046250
oct6157263230
92134223456
10834496152
11399062346
121b357a020
13103b70509
147cb88960
154d3dd1bc
hex31bd6698

834496152 has 128 divisors (see below), whose sum is σ = 2428800000. Its totient is φ = 234026496.

The previous prime is 834496133. The next prime is 834496171. The reversal of 834496152 is 251694438.

It is an interprime number because it is at equal distance from previous prime (834496133) and next prime (834496171).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3643974 + ... + 3644202.

It is an arithmetic number, because the mean of its divisors is an integer number (18975000).

Almost surely, 2834496152 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 834496152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214400000).

834496152 is an abundant number, since it is smaller than the sum of its proper divisors (1594303848).

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

834496152 is a wasteful number, since it uses less digits than its factorization.

834496152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 549 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 834496152 is about 28887.6470485223. The cubic root of 834496152 is about 941.4735271558.

The spelling of 834496152 in words is "eight hundred thirty-four million, four hundred ninety-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 109 168 199 218 229 327 398 436 458 597 654 687 763 796 872 916 1194 1308 1374 1393 1526 1592 1603 1832 2289 2388 2616 2748 2786 3052 3206 4179 4578 4776 4809 5496 5572 6104 6412 8358 9156 9618 11144 12824 16716 18312 19236 21691 24961 33432 38472 43382 45571 49922 65073 74883 86764 91142 99844 130146 136713 149766 151837 173528 174727 182284 199688 260292 273426 299532 303674 318997 349454 364568 455511 520584 524181 546852 599064 607348 637994 698908 911022 956991 1048362 1093704 1214696 1275988 1397816 1822044 1913982 2096724 2551976 3644088 3827964 4193448 4967239 7655928 9934478 14901717 19868956 29803434 34770673 39737912 59606868 69541346 104312019 119213736 139082692 208624038 278165384 417248076 834496152