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345471084 = 2232729411153
BaseRepresentation
bin10100100101110…
…111100001101100
3220002001202020100
4110211313201230
51201420033314
654140351100
711363312220
oct2445674154
9802052210
10345471084
111680115a2
1297845490
135675b97a
1433c4c780
15204e1c09
hex1497786c

345471084 has 144 divisors (see below), whose sum is σ = 1058541120. Its totient is φ = 92897280.

The previous prime is 345471079. The next prime is 345471131. The reversal of 345471084 is 480174543.

345471084 is a `hidden beast` number, since 3 + 4 + 547 + 108 + 4 = 666.

It is a super-3 number, since 3×3454710843 (a number of 27 digits) contains 333 as substring.

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

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, 299052 + ... + 300204.

It is an arithmetic number, because the mean of its divisors is an integer number (7350980).

Almost surely, 2345471084 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 345471084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529270560).

345471084 is an abundant number, since it is smaller than the sum of its proper divisors (713070036).

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

345471084 is a wasteful number, since it uses less digits than its factorization.

345471084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 345471084 is about 18586.8524500519. The cubic root of 345471084 is about 701.6769887565.

The spelling of 345471084 in words is "three hundred forty-five million, four hundred seventy-one thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 41 42 58 63 82 84 87 116 123 126 164 174 203 246 252 261 287 348 369 406 492 522 574 609 738 812 861 1044 1148 1153 1189 1218 1476 1722 1827 2306 2378 2436 2583 3444 3459 3567 3654 4612 4756 5166 6918 7134 7308 8071 8323 10332 10377 10701 13836 14268 16142 16646 20754 21402 24213 24969 32284 33292 33437 41508 42804 47273 48426 49938 66874 72639 74907 94546 96852 99876 100311 133748 141819 145278 149814 189092 200622 234059 283638 290556 299628 300933 330911 401244 425457 468118 567276 601866 661822 702177 850914 936236 992733 1203732 1323644 1370917 1404354 1701828 1985466 2106531 2741834 2808708 2978199 3970932 4112751 4213062 5483668 5956398 8225502 8426124 9596419 11912796 12338253 16451004 19192838 24676506 28789257 38385676 49353012 57578514 86367771 115157028 172735542 345471084