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349095216 = 24331283829
BaseRepresentation
bin10100110011101…
…100010100110000
3220022212212121110
4110303230110300
51203332021331
654350153320
711436155211
oct2463542460
9808785543
10349095216
1116a067448
1298ab2840
135742a422
1434513408
15209aa946
hex14cec530

349095216 has 80 divisors (see below), whose sum is σ = 935336960. Its totient is φ = 112078080.

The previous prime is 349095211. The next prime is 349095223. The reversal of 349095216 is 612590943.

It is not an unprimeable number, because it can be changed into a prime (349095211) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 420690 + ... + 421518.

It is an arithmetic number, because the mean of its divisors is an integer number (11691712).

Almost surely, 2349095216 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 349095216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467668480).

349095216 is an abundant number, since it is smaller than the sum of its proper divisors (586241744).

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

349095216 is a wasteful number, since it uses less digits than its factorization.

349095216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 349095216 is about 18684.0899162897. The cubic root of 349095216 is about 704.1220841134.

The spelling of 349095216 in words is "three hundred forty-nine million, ninety-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 283 372 496 566 744 829 849 1132 1488 1658 1698 2264 2487 3316 3396 4528 4974 6632 6792 8773 9948 13264 13584 17546 19896 25699 26319 35092 39792 51398 52638 70184 77097 102796 105276 140368 154194 205592 210552 234607 308388 411184 421104 469214 616776 703821 938428 1233552 1407642 1876856 2815284 3753712 5630568 7272817 11261136 14545634 21818451 29091268 43636902 58182536 87273804 116365072 174547608 349095216