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343064484 = 223676
BaseRepresentation
bin10100011100101…
…011111110100100
3212220112111000000
4110130223332210
51200311030414
654013021300
711334000000
oct2434537644
9786474000
10343064484
11166718474
1296a84830
13560c8449
14337c3700
15201b8b09
hex1472bfa4

343064484 has 147 divisors (see below), whose sum is σ = 1050153307. Its totient is φ = 98018424.

The previous prime is 343064479. The next prime is 343064489. The reversal of 343064484 is 484460343.

The square root of 343064484 is 18522.

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

343064484 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 644 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (343064479) and next prime (343064489).

It is a tau number, because it is divible by the number of its divisors (147).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (343064489) by changing a digit.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 49009209 + ... + 49009215.

Almost surely, 2343064484 is an apocalyptic number.

343064484 is the 18522-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343064484

343064484 is an abundant number, since it is smaller than the sum of its proper divisors (707088823).

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

343064484 is an frugal number, since it uses more digits than its factorization.

343064484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The cubic root of 343064484 is about 700.0438639180.

Multiplying 343064484 by its sum of digits (36), we get a square (12350321424 = 1111322).

343064484 divided by its sum of digits (36) gives a square (9529569 = 30872).

The spelling of 343064484 in words is "three hundred forty-three million, sixty-four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 343 378 441 486 567 588 686 729 756 882 972 1029 1134 1323 1372 1458 1701 1764 2058 2268 2401 2646 2916 3087 3402 3969 4116 4802 5103 5292 6174 6804 7203 7938 9261 9604 10206 11907 12348 14406 15876 16807 18522 20412 21609 23814 27783 28812 33614 35721 37044 43218 47628 50421 55566 64827 67228 71442 83349 86436 100842 111132 117649 129654 142884 151263 166698 194481 201684 235298 250047 259308 302526 333396 352947 388962 453789 470596 500094 583443 605052 705894 777924 907578 1000188 1058841 1166886 1361367 1411788 1750329 1815156 2117682 2333772 2722734 3176523 3500658 4084101 4235364 5445468 6353046 7001316 8168202 9529569 12252303 12706092 16336404 19059138 24504606 28588707 38118276 49009212 57177414 85766121 114354828 171532242 343064484