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1348161620 = 2251319726321
BaseRepresentation
bin101000001011011…
…0101000001010100
310110221210201001212
41100112311001110
510230112132440
6341435440552
745260120231
oct12026650124
93427721055
101348161620
11632002863
123175b6158
131863cb690
14cb09a788
157d555465
hex505b5054

1348161620 has 48 divisors (see below), whose sum is σ = 3064512528. Its totient is φ = 495237120.

The previous prime is 1348161611. The next prime is 1348161641. The reversal of 1348161620 is 261618431.

It can be written as a sum of positive squares in 8 ways, for example, as 136843204 + 1211318416 = 11698^2 + 34804^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38060 + ... + 64380.

It is an arithmetic number, because the mean of its divisors is an integer number (63844011).

Almost surely, 21348161620 is an apocalyptic number.

1348161620 is a gapful number since it is divisible by the number (10) 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 1348161620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532256264).

1348161620 is an abundant number, since it is smaller than the sum of its proper divisors (1716350908).

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

1348161620 is a wasteful number, since it uses less digits than its factorization.

1348161620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26540 (or 26538 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 1348161620 is about 36717.3204360013. The cubic root of 1348161620 is about 1104.7075439327.

The spelling of 1348161620 in words is "one billion, three hundred forty-eight million, one hundred sixty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 197 260 394 788 985 1970 2561 3940 5122 10244 12805 25610 26321 51220 52642 105284 131605 263210 342173 526420 684346 1368692 1710865 3421730 5185237 6843460 10370474 20740948 25926185 51852370 67408081 103704740 134816162 269632324 337040405 674080810 1348161620