Search a number
-
+
343211904 = 273474729
BaseRepresentation
bin10100011101001…
…111111110000000
3212220210222020000
4110131033332000
51200330240104
654020120000
711335152540
oct2435177600
9786728200
10343211904
11166809202
1296b36000
135614a589
1433821320
15201e7639
hex1474ff80

343211904 has 160 divisors (see below), whose sum is σ = 1167553200. Its totient is φ = 98039808.

The previous prime is 343211893. The next prime is 343211959. The reversal of 343211904 is 409112343.

It is a super-2 number, since 2×3432119042 = 235588822094610432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 70212 + ... + 74940.

Almost surely, 2343211904 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 343211904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583776600).

343211904 is an abundant number, since it is smaller than the sum of its proper divisors (824341296).

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

343211904 is an equidigital number, since it uses as much as digits as its factorization.

343211904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4762 (or 4741 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 343211904 is about 18525.9791644059. The cubic root of 343211904 is about 700.1441227056.

The spelling of 343211904 in words is "three hundred forty-three million, two hundred eleven thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 4729 5184 6048 8064 9072 9458 10368 12096 14187 18144 18916 24192 28374 33103 36288 37832 42561 56748 66206 72576 75664 85122 99309 113496 127683 132412 151328 170244 198618 226992 255366 264824 297927 302656 340488 383049 397236 453984 510732 529648 595854 605312 680976 766098 794472 893781 907968 1021464 1059296 1191708 1361952 1532196 1588944 1787562 1815936 2042928 2118592 2383416 2681343 2723904 3064392 3177888 3575124 4085856 4237184 4766832 5362686 5447808 6128784 6355776 7150248 8171712 9533664 10725372 12257568 12711552 14300496 16343424 19067328 21450744 24515136 28600992 38134656 42901488 49030272 57201984 85802976 114403968 171605952 343211904