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349004608 = 2667199409
BaseRepresentation
bin10100110011010…
…110001101000000
3220022201021022121
4110303112031000
51203321121413
654344214024
711435330101
oct2463261500
9808637277
10349004608
1116a005367
1298a6a314
13573c8104
14344cc3a8
152098db8d
hex14cd6340

349004608 has 56 divisors (see below), whose sum is σ = 708152000. Its totient is φ = 170615808.

The previous prime is 349004581. The next prime is 349004627. The reversal of 349004608 is 806400943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 853108 + ... + 853516.

Almost surely, 2349004608 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 349004608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354076000).

349004608 is an abundant number, since it is smaller than the sum of its proper divisors (359147392).

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

349004608 is a wasteful number, since it uses less digits than its factorization.

349004608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 349004608 is about 18681.6650221547. The cubic root of 349004608 is about 704.0611603201.

The spelling of 349004608 in words is "three hundred forty-nine million, four thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 64 67 134 199 268 398 409 536 796 818 1072 1592 1636 2144 3184 3272 4288 6368 6544 12736 13088 13333 26176 26666 27403 53332 54806 81391 106664 109612 162782 213328 219224 325564 426656 438448 651128 853312 876896 1302256 1753792 2604512 5209024 5453197 10906394 21812788 43625576 87251152 174502304 349004608