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349318656 = 29348423
BaseRepresentation
bin10100110100100…
…010111000000000
3220100022020010000
4110310202320000
51203411144111
654355040000
711441105511
oct2464427000
9810266100
10349318656
1116a1aa305
1298ba0000
13574a803b
1434570a08
1520a01c56
hex14d22e00

349318656 has 100 divisors (see below), whose sum is σ = 1042747992. Its totient is φ = 116425728.

The previous prime is 349318609. The next prime is 349318657. The reversal of 349318656 is 656813943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349318657) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 37261 + ... + 45683.

Almost surely, 2349318656 is an apocalyptic number.

349318656 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 349318656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521373996).

349318656 is an abundant number, since it is smaller than the sum of its proper divisors (693429336).

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

349318656 is an frugal number, since it uses more digits than its factorization.

349318656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8453 (or 8428 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 349318656 is about 18690.0683786871. The cubic root of 349318656 is about 704.2722776010.

The spelling of 349318656 in words is "three hundred forty-nine million, three hundred eighteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 8423 10368 13824 16846 20736 25269 33692 41472 50538 67384 75807 101076 134768 151614 202152 227421 269536 303228 404304 454842 539072 606456 682263 808608 909684 1078144 1212912 1364526 1617216 1819368 2156288 2425824 2729052 3234432 3638736 4312576 4851648 5458104 6468864 7277472 9703296 10916208 12937728 14554944 19406592 21832416 29109888 38813184 43664832 58219776 87329664 116439552 174659328 349318656