Search a number
-
+
348103728 = 243271971753
BaseRepresentation
bin10100101111111…
…010010000110000
3220021000111112200
4110233322100300
51203103304403
654313023200
711424555450
oct2457722060
9807014480
10348103728
1116954a535
12986b4b00
135717104b
1434335d60
1520861ca3
hex14bfa430

348103728 has 120 divisors (see below), whose sum is σ = 1119669408. Its totient is φ = 98896896.

The previous prime is 348103727. The next prime is 348103729. The reversal of 348103728 is 827301843.

It is an interprime number because it is at equal distance from previous prime (348103727) and next prime (348103729).

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 = 348103692 and 348103701.

It is not an unprimeable number, because it can be changed into a prime (348103727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197700 + ... + 199452.

Almost surely, 2348103728 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 348103728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559834704).

348103728 is an abundant number, since it is smaller than the sum of its proper divisors (771565680).

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

348103728 is a wasteful number, since it uses less digits than its factorization.

348103728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 348103728 is about 18657.5381012608. The cubic root of 348103728 is about 703.4548444003.

The spelling of 348103728 in words is "three hundred forty-eight million, one hundred three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 197 252 336 394 504 591 788 1008 1182 1379 1576 1753 1773 2364 2758 3152 3506 3546 4137 4728 5259 5516 7012 7092 8274 9456 10518 11032 12271 12411 14024 14184 15777 16548 21036 22064 24542 24822 28048 28368 31554 33096 36813 42072 49084 49644 63108 66192 73626 84144 98168 99288 110439 126216 147252 196336 198576 220878 252432 294504 345341 441756 589008 690682 883512 1036023 1381364 1767024 2072046 2417387 2762728 3108069 4144092 4834774 5525456 6216138 7252161 8288184 9669548 12432276 14504322 16576368 19339096 21756483 24864552 29008644 38678192 43512966 49729104 58017288 87025932 116034576 174051864 348103728