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348948630 = 2325171311741
BaseRepresentation
bin10100110011001…
…000100010010110
3220022121102112100
4110303020202112
51203312324010
654343102530
711435004642
oct2463104226
9808542470
10348948630
11169a772a8
1298a41a46
13573a87a4
14344b5c22
152097c2c0
hex14cc8896

348948630 has 96 divisors (see below), whose sum is σ = 968524128. Its totient is φ = 86860800.

The previous prime is 348948601. The next prime is 348948631. The reversal of 348948630 is 36849843.

348948630 = 19842 + 19852 + ... + 20682.

348948630 is a `hidden beast` number, since 3 + 4 + 8 + 9 + 4 + 8 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348948631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199560 + ... + 201300.

It is an arithmetic number, because the mean of its divisors is an integer number (10088793).

Almost surely, 2348948630 is an apocalyptic number.

348948630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 348948630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484262064).

348948630 is an abundant number, since it is smaller than the sum of its proper divisors (619575498).

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

348948630 is a wasteful number, since it uses less digits than its factorization.

348948630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 348948630 is about 18680.1667551443. The cubic root of 348948630 is about 704.0235160770.

The spelling of 348948630 in words is "three hundred forty-eight million, nine hundred forty-eight thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 131 153 170 255 262 306 393 510 655 765 786 1179 1310 1530 1741 1965 2227 2358 3482 3930 4454 5223 5895 6681 8705 10446 11135 11790 13362 15669 17410 20043 22270 26115 29597 31338 33405 40086 52230 59194 66810 78345 88791 100215 147985 156690 177582 200430 228071 266373 295970 443955 456142 532746 684213 887910 1140355 1331865 1368426 2052639 2280710 2663730 3421065 3877207 4105278 6842130 7754414 10263195 11631621 19386035 20526390 23263242 34894863 38772070 58158105 69789726 116316210 174474315 348948630