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834449364324 = 223419226712
BaseRepresentation
bin11000010010010010000…
…11101101010101100100
32221202212012200202210000
430021021003231111210
5102132423014124244
61435201333501300
7114200301365352
oct14111103552544
92852765622700
10834449364324
112a1984a04024
1211587b4a1830
13608c4099714
142c55d6987d2
1516a8c856169
hexc2490ed564

834449364324 has 135 divisors (see below), whose sum is σ = 2303131783491. Its totient is φ = 263411669520.

The previous prime is 834449364269. The next prime is 834449364341. The reversal of 834449364324 is 423463944438.

The square root of 834449364324 is 913482.

It is a perfect power (a square), and thus also a powerful number.

834449364324 is a `hidden beast` number, since 83 + 4 + 44 + 93 + 6 + 432 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 312409509 + ... + 312412179.

Almost surely, 2834449364324 is an apocalyptic number.

834449364324 is the 913482-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834449364324

834449364324 is an abundant number, since it is smaller than the sum of its proper divisors (1468682419167).

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

834449364324 is an equidigital number, since it uses as much as digits as its factorization.

834449364324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5396 (or 2695 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 54.

The spelling of 834449364324 in words is "eight hundred thirty-four billion, four hundred forty-nine million, three hundred sixty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 361 513 684 722 1026 1083 1444 1539 2052 2166 2671 3078 3249 4332 5342 6156 6498 8013 9747 10684 12996 16026 19494 24039 29241 32052 38988 48078 50749 58482 72117 96156 101498 116964 144234 152247 202996 216351 288468 304494 432702 456741 608988 865404 913482 964231 1370223 1826964 1928462 2740446 2892693 3856924 4110669 5480892 5785386 7134241 8221338 8678079 11570772 14268482 16442676 17356158 21402723 26034237 28536964 34712316 42805446 52068474 64208169 78102711 85610892 104136948 128416338 135550579 156205422 192624507 256832676 271101158 312410844 385249014 406651737 542202316 577873521 770498028 813303474 1155747042 1219955211 1626606948 2311494084 2439910422 2575461001 3659865633 4879820844 5150922002 7319731266 7726383003 10301844004 10979596899 14639462532 15452766006 21959193798 23179149009 30905532012 43918387596 46358298018 69537447027 92716596036 139074894054 208612341081 278149788108 417224682162 834449364324