Search a number
-
+
348300216 = 233311178623
BaseRepresentation
bin10100110000101…
…010001110111000
3220021101111002000
4110300222032320
51203131101331
654321141000
711426334345
oct2460521670
9807344060
10348300216
11169674120
129878a760
135720c604
14343877cc
15208a00e6
hex14c2a3b8

348300216 has 128 divisors (see below), whose sum is σ = 1117670400. Its totient is φ = 99325440.

The previous prime is 348300163. The next prime is 348300257. The reversal of 348300216 is 612003843.

It is a happy number.

348300216 is a `hidden beast` number, since 348 + 300 + 2 + 16 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 348300216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36081 + ... + 44703.

It is an arithmetic number, because the mean of its divisors is an integer number (8731800).

Almost surely, 2348300216 is an apocalyptic number.

348300216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348300216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558835200).

348300216 is an abundant number, since it is smaller than the sum of its proper divisors (769370184).

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

348300216 is a wasteful number, since it uses less digits than its factorization.

348300216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8666 (or 8656 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 348300216 is about 18662.8030049079. The cubic root of 348300216 is about 703.5871751074.

The spelling of 348300216 in words is "three hundred forty-eight million, three hundred thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 27 33 34 36 44 51 54 66 68 72 88 99 102 108 132 136 153 187 198 204 216 264 297 306 374 396 408 459 561 594 612 748 792 918 1122 1188 1224 1496 1683 1836 2244 2376 3366 3672 4488 5049 6732 8623 10098 13464 17246 20196 25869 34492 40392 51738 68984 77607 94853 103476 146591 155214 189706 206952 232821 284559 293182 310428 379412 439773 465642 569118 586364 620856 758824 853677 879546 931284 1138236 1172728 1319319 1612501 1707354 1759092 1862568 2276472 2561031 2638638 3225002 3414708 3518184 3957957 4837503 5122062 5277276 6450004 6829416 7915914 9675006 10244124 10554552 12900008 14512509 15831828 19350012 20488248 29025018 31663656 38700024 43537527 58050036 87075054 116100072 174150108 348300216