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343954100484 = 2232233126350951
BaseRepresentation
bin1010000000101010100…
…00110001000100000100
31012212210202022200101200
411000111100301010010
521113404222203414
6422002122022500
733564334421031
oct5002520610404
91185722280350
10343954100484
11122963139585
12567b1647a30
13265861519a7
141290c916388
158e313a1109
hex5015431104

343954100484 has 144 divisors (see below), whose sum is σ = 940086411264. Its totient is φ = 105723288000.

The previous prime is 343954100459. The next prime is 343954100489. The reversal of 343954100484 is 484001459343.

343954100484 is a `hidden beast` number, since 3 + 43 + 95 + 41 + 0 + 0 + 484 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (343954100489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6725209 + ... + 6776159.

It is an arithmetic number, because the mean of its divisors is an integer number (6528377856).

Almost surely, 2343954100484 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 343954100484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470043205632).

343954100484 is an abundant number, since it is smaller than the sum of its proper divisors (596132310780).

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

343954100484 is a wasteful number, since it uses less digits than its factorization.

343954100484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51278 (or 51273 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 343954100484 in words is "three hundred forty-three billion, nine hundred fifty-four million, one hundred thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 92 93 124 138 186 207 263 276 279 372 414 526 558 713 789 828 1052 1116 1426 1578 2139 2367 2852 3156 4278 4734 6049 6417 8153 8556 9468 12098 12834 16306 18147 24196 24459 25668 32612 36294 48918 50951 54441 72588 73377 97836 101902 108882 146754 152853 187519 203804 217764 293508 305706 375038 458559 562557 611412 750076 917118 1125114 1171873 1579481 1687671 1834236 2250228 2343746 3158962 3375342 3515619 4687492 4738443 6317924 6750684 7031238 9476886 10546857 13400113 14062476 14215329 18953772 21093714 26800226 28430658 36328063 40200339 42187428 53600452 56861316 72656126 80400678 108984189 120601017 145312252 160801356 217968378 241202034 308202599 326952567 415403503 435936756 482404068 616405198 653905134 830807006 924607797 1232810396 1246210509 1307810268 1661614012 1849215594 2492421018 2773823391 3698431188 3738631527 4984842036 5547646782 7477263054 9554280569 11095293564 14954526108 19108561138 28662841707 38217122276 57325683414 85988525121 114651366828 171977050242 343954100484