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348003468 = 2232192512027
BaseRepresentation
bin10100101111100…
…001110010001100
3220020211102000100
4110233201302030
51203042102333
654310531100
711423660241
oct2457416214
9806742010
10348003468
1116949117a
1298666a90
1357137517
143430b5c8
1520842213
hex14be1c8c

348003468 has 72 divisors (see below), whose sum is σ = 930121920. Its totient is φ = 109404000.

The previous prime is 348003431. The next prime is 348003497. The reversal of 348003468 is 864300843.

It is a super-2 number, since 2×3480034682 = 242212827480054048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170671 + ... + 172697.

It is an arithmetic number, because the mean of its divisors is an integer number (12918360).

Almost surely, 2348003468 is an apocalyptic number.

348003468 is a gapful number since it is divisible by the number (38) 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 348003468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465060960).

348003468 is an abundant number, since it is smaller than the sum of its proper divisors (582118452).

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

348003468 is a wasteful number, since it uses less digits than its factorization.

348003468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 348003468 is about 18654.8510581028. The cubic root of 348003468 is about 703.3873021237.

The spelling of 348003468 in words is "three hundred forty-eight million, three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 251 342 502 684 753 1004 1506 2027 2259 3012 4054 4518 4769 6081 8108 9036 9538 12162 14307 18243 19076 24324 28614 36486 38513 42921 57228 72972 77026 85842 115539 154052 171684 231078 346617 462156 508777 693234 1017554 1386468 1526331 2035108 3052662 4578993 6105324 9157986 9666763 18315972 19333526 29000289 38667052 58000578 87000867 116001156 174001734 348003468