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348820740 = 2232512715259
BaseRepresentation
bin10100110010101…
…001010100000100
3220022100221002200
4110302221110010
51203244230430
654340234500
711433633042
oct2462512404
9808327080
10348820740
1116999a204
129899ba30
1357362508
1434481392
1520954460
hex14ca9504

348820740 has 72 divisors (see below), whose sum is σ = 1066490880. Its totient is φ = 92280384.

The previous prime is 348820723. The next prime is 348820741. The reversal of 348820740 is 47028843.

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

It is a junction number, because it is equal to n+sod(n) for n = 348820695 and 348820704.

It is not an unprimeable number, because it can be changed into a prime (348820741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15231 + ... + 30489.

Almost surely, 2348820740 is an apocalyptic number.

348820740 is a gapful number since it is divisible by the number (30) 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 348820740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533245440).

348820740 is an abundant number, since it is smaller than the sum of its proper divisors (717670140).

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

348820740 is a wasteful number, since it uses less digits than its factorization.

348820740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15401 (or 15396 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 348820740 is about 18676.7432921267. The cubic root of 348820740 is about 703.9374971413.

The spelling of 348820740 in words is "three hundred forty-eight million, eight hundred twenty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 1143 1270 1524 1905 2286 2540 3810 4572 5715 7620 11430 15259 22860 30518 45777 61036 76295 91554 137331 152590 183108 228885 274662 305180 457770 549324 686655 915540 1373310 1937893 2746620 3875786 5813679 7751572 9689465 11627358 17441037 19378930 23254716 29068395 34882074 38757860 58136790 69764148 87205185 116273580 174410370 348820740