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834270443604 = 22321319379247553
BaseRepresentation
bin11000010001111100110…
…01001011100001010100
32221202101202000122200200
430020332121023201110
5102132041213143404
61435131502540500
7114162666523533
oct14107631134124
92852352018620
10834270443604
112a18a2a09264
1211582b597730
1360895cb2b80
142c543a0231a
1516a7bcb2839
hexc23e64b854

834270443604 has 144 divisors (see below), whose sum is σ = 2396916849600. Its totient is φ = 242545508352.

The previous prime is 834270443549. The next prime is 834270443627. The reversal of 834270443604 is 406344072438.

834270443604 is a `hidden beast` number, since 8 + 34 + 2 + 7 + 0 + 4 + 4 + 3 + 604 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 834270443604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3246292 + ... + 3493844.

It is an arithmetic number, because the mean of its divisors is an integer number (16645255900).

Almost surely, 2834270443604 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 834270443604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198458424800).

834270443604 is an abundant number, since it is smaller than the sum of its proper divisors (1562646405996).

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

834270443604 is a wasteful number, since it uses less digits than its factorization.

834270443604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247974 (or 247969 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 834270443604 in words is "eight hundred thirty-four billion, two hundred seventy million, four hundred forty-three thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 379 468 494 684 741 758 988 1137 1482 1516 2223 2274 2964 3411 4446 4548 4927 6822 7201 8892 9854 13644 14402 14781 19708 21603 28804 29562 43206 44343 59124 64809 86412 88686 93613 129618 177372 187226 247553 259236 280839 374452 495106 561678 742659 842517 990212 1123356 1485318 1685034 2227977 2970636 3218189 3370068 4455954 4703507 6436378 8911908 9407014 9654567 12872756 14110521 18814028 19309134 28221042 28963701 38618268 42331563 56442084 57927402 61145591 84663126 93822587 115854804 122291182 169326252 183436773 187645174 244582364 281467761 366873546 375290348 550310319 562935522 733747092 844403283 1100620638 1125871044 1219693631 1688806566 1782629153 2201241276 2439387262 3377613132 3565258306 3659080893 4878774524 5347887459 7130516612 7318161786 10695774918 10977242679 14636323572 16043662377 21391549836 21954485358 23174178989 32087324754 43908970716 46348357978 64174649508 69522536967 92696715956 139045073934 208567610901 278090147868 417135221802 834270443604